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Arithmetic geometry, number theory, and computation / / edited by Jennifer S. Balakrishnan [and six others]
| Arithmetic geometry, number theory, and computation / / edited by Jennifer S. Balakrishnan [and six others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (587 pages) |
| Disciplina | 516.35 |
| Collana | Simons Symposia |
| Soggetto topico |
Number theory
Geometria algebraica aritmètica Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80914-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910552723303321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Arithmetic geometry, number theory, and computation / / edited by Jennifer S. Balakrishnan [and six others]
| Arithmetic geometry, number theory, and computation / / edited by Jennifer S. Balakrishnan [and six others] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (587 pages) |
| Disciplina | 516.35 |
| Collana | Simons Symposia |
| Soggetto topico |
Number theory
Geometria algebraica aritmètica Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-80914-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996466558503316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Combinatorial and additive number theory IV : CANT, New York, USA, 2019 and 2020 / / Melvyn B. Nathanson, editor
| Combinatorial and additive number theory IV : CANT, New York, USA, 2019 and 2020 / / Melvyn B. Nathanson, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (viii, 445 pages) : illustrations |
| Disciplina | 511.6 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Combinatorial number theory
Teoria de nombres Matemàtica discreta Teoria de grups |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-67996-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 0. Math in the Time of Covid (M.B. Nathanson) -- 1. Extremal sequences for some weighted zero-sum constants for cyclic groups (S.D. Adhikari, M.I. Molla, S. Paul) -- 2. On a zero-sum problem arising from factorization theory (A. Bashir, A. Geroldinger, Q. Zhong) -- 3. Conditional bounds on Siegel zeros (G. Bhowmik, K. Halupczok) -- 4. Infinite co-minimal pairs in the integers and integral lattices (A. Biswas, J.P. Saha) -- 5. Rigidity, graphs, and Hausdorff dimension (N. Chatzikonstantinou, A. Iosevich, S. Mkrtchyan, J. Pakianathan) -- 6. On generalized harmonic numbers (Y.-G. Chen, B.-L. Wu) -- 7. Partitions for semi-magic squares of size three (R. Donley) -- 8. A sum of negative degrees of the gaps values in two-generated numerical semigroups and identities for the Hurwitz zeta function (L.G. Fel, T. Komatsu, A.I. Suriajaya) -- 9. Widely digitally stable numbers (M. Filaseta, J. Juillerat, J. Southwick) -- 10. Non-injectivity of nonzero discriminant polynomials and applications to packing polynomials (K. Gjaldbæk) -- 11. Representing sequence subsums as sumsets of near equal sized sets (D.J. Grynkiewicz) -- 12. Bounds on point configurations determined by distances and dot products (S. Gunter, E. Palsson, B. Rhodes, and S. Senger) -- 13. Distribution of missing digits in diffsets (S. Harvey-Arnold, S.J. Miller, F. Peng) -- 14. Recent progress in Hilbert cubes theory (N. Hegyvarı) -- 15. Intrinsic characterization of representation functions and generalizations (C. Helou) -- 16. Combinatorics of multicompositions (B. Hopkins, S. Ouvrey) -- 17. A variant of the Elliott-Halberstam conjecture and the Goldbach conjecture (J.-J. Huang, H. Li) -- 18. Part-frequency matrices, II: Recent work (W. Keith) -- 19. A conjectural inequality for visible points in lattice parallelograms (G. Khan, M.R. Khan, J. Saha, P. Zhao) -- 20. On a two-dimensional exponential sum (A. Kumchev) -- 21. On consecutive perfect powers with elementary methods (P. Leonetti) -- 22. Sidon sets and perturbations (M.B. Nathanson) -- 23. Multiplicative representations and Ramsey's Theorem (M.B. Nathanson) -- 24. On distinct consecutive differences (I. Ruzsa, G. Shakan, J. Solymosi, E. Szemeredi) -- 25. Limit points of Nathanson’s lambda sequences (S. Singh). |
| Altri titoli varianti |
Combinatorial and additive number theory 4
Combinatorial and additive number theory four |
| Record Nr. | UNISA-996466387603316 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Combinatorial and additive number theory IV : CANT, New York, USA, 2019 and 2020 / / Melvyn B. Nathanson, editor
| Combinatorial and additive number theory IV : CANT, New York, USA, 2019 and 2020 / / Melvyn B. Nathanson, editor |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2021] |
| Descrizione fisica | 1 online resource (viii, 445 pages) : illustrations |
| Disciplina | 511.6 |
| Collana | Springer proceedings in mathematics & statistics |
| Soggetto topico |
Combinatorial number theory
Teoria de nombres Matemàtica discreta Teoria de grups |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN | 3-030-67996-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 0. Math in the Time of Covid (M.B. Nathanson) -- 1. Extremal sequences for some weighted zero-sum constants for cyclic groups (S.D. Adhikari, M.I. Molla, S. Paul) -- 2. On a zero-sum problem arising from factorization theory (A. Bashir, A. Geroldinger, Q. Zhong) -- 3. Conditional bounds on Siegel zeros (G. Bhowmik, K. Halupczok) -- 4. Infinite co-minimal pairs in the integers and integral lattices (A. Biswas, J.P. Saha) -- 5. Rigidity, graphs, and Hausdorff dimension (N. Chatzikonstantinou, A. Iosevich, S. Mkrtchyan, J. Pakianathan) -- 6. On generalized harmonic numbers (Y.-G. Chen, B.-L. Wu) -- 7. Partitions for semi-magic squares of size three (R. Donley) -- 8. A sum of negative degrees of the gaps values in two-generated numerical semigroups and identities for the Hurwitz zeta function (L.G. Fel, T. Komatsu, A.I. Suriajaya) -- 9. Widely digitally stable numbers (M. Filaseta, J. Juillerat, J. Southwick) -- 10. Non-injectivity of nonzero discriminant polynomials and applications to packing polynomials (K. Gjaldbæk) -- 11. Representing sequence subsums as sumsets of near equal sized sets (D.J. Grynkiewicz) -- 12. Bounds on point configurations determined by distances and dot products (S. Gunter, E. Palsson, B. Rhodes, and S. Senger) -- 13. Distribution of missing digits in diffsets (S. Harvey-Arnold, S.J. Miller, F. Peng) -- 14. Recent progress in Hilbert cubes theory (N. Hegyvarı) -- 15. Intrinsic characterization of representation functions and generalizations (C. Helou) -- 16. Combinatorics of multicompositions (B. Hopkins, S. Ouvrey) -- 17. A variant of the Elliott-Halberstam conjecture and the Goldbach conjecture (J.-J. Huang, H. Li) -- 18. Part-frequency matrices, II: Recent work (W. Keith) -- 19. A conjectural inequality for visible points in lattice parallelograms (G. Khan, M.R. Khan, J. Saha, P. Zhao) -- 20. On a two-dimensional exponential sum (A. Kumchev) -- 21. On consecutive perfect powers with elementary methods (P. Leonetti) -- 22. Sidon sets and perturbations (M.B. Nathanson) -- 23. Multiplicative representations and Ramsey's Theorem (M.B. Nathanson) -- 24. On distinct consecutive differences (I. Ruzsa, G. Shakan, J. Solymosi, E. Szemeredi) -- 25. Limit points of Nathanson’s lambda sequences (S. Singh). |
| Altri titoli varianti |
Combinatorial and additive number theory 4
Combinatorial and additive number theory four |
| Record Nr. | UNINA-9910494564003321 |
| Cham, Switzerland : , : Springer, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial and additive number theory V : CANT, New York, USA 2021 / / edited by Melvyn B. Nathanson
| Combinatorial and additive number theory V : CANT, New York, USA 2021 / / edited by Melvyn B. Nathanson |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (290 pages) |
| Disciplina | 069 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Algebra
Teoria de nombres |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN |
9783031107962
9783031107955 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface: Mathematics in the Time of COVID -- Contents -- On the Number of Dot Product Chains in Finite Fields and Rings -- 1 Introduction -- Background -- Notation -- Main Results -- Sharpness and Relevance of Hypotheses -- 2 Bounds on 3-Chains in mathbbFqd -- 3 Bounds on k-Chains in mathbbZqd -- 4 Bounds on k-chains in mathbbFqd -- 5 Small Set Results -- Proof of Theorem 4 -- Erratum -- References -- Completeness of Positive Linear Recurrence Sequences -- 1 Introduction -- 2 Modifying Sequences -- Maximal Complete Sequence -- Modifications of Sequences of Arbitrary Coefficients -- 3 Families of Sequences -- Using 1s and 0s as Initial Coefficients -- The ``2L-1 Conjecture'' -- 4 An Analytical Approach -- An Introduction to Principal Roots -- Applications to Completeness -- Denseness of Incomplete Roots -- 5 Open Questions -- 6 Brown's Criterion and a Corollary -- 7 Lemmas for Sect.2 -- 8 Lemmas for Sect.3 -- 9 Lemmas for Sect.4 -- References -- Length Density and Numerical Semigroups -- 1 Introduction -- 2 Background -- 3 Asymptotics and Computation -- 4 Families of Numerical Semigroups -- Supersymmetric Numerical Semigroups -- Embedding Dimension 3 Numerical Semigroups -- Maximal Embedding Dimension Numerical Semigroups -- 5 Tasty and Bland Gluings of Numerical Semigroups -- References -- On a Problem of Cilleruelo and Nathanson, II -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- References -- Linked Partition Ideals and a Schur-Type Identity of Andrews -- 1 Introduction -- 2 Linked Partition Ideals and a Matrix Equation -- 3 q-Borel Operators -- 4 Non-standard Generating Function -- 5 Theorem 1 -- 6 The Continuous q-Hermite Polynomials -- References -- Semi-magic Matrices for Dihedral Groups -- 1 Introduction -- 2 Definitions and Notations -- 3 Structure of D2n -- 4 Irreducible Types for ρ.
5 The Intertwining Operator ρ -- 6 Semi-magic Matrices -- 7 Semi-magic Squares for MM(D2n) -- 8 Alternative Counting Formulas -- 9 Orthogonal Idempotents for MM(D2n) -- 10 Quaternionic Bases -- References -- Is the Syracuse Falling Time Bounded by 12? -- 1 Introduction -- 2 Falling Time Records -- Integers Satisfying `3́9`42`"̇613A``45`47`"603Aft(n) > -- 14 -- Glide Records -- Falling Time Distribution -- A Variant of Jumps -- 3 The Syracuse Version -- Current Maximum -- A Variant of Syracuse Jumps -- 4 The Case 2ell-1 -- 5 For Very Large n -- Heuristics -- A Challenge -- References -- Genera of Numerical Semigroups and Polynomial Identities for Degrees of Syzygies -- 1 Introduction -- 2 Polynomial Identities for Numerical Semigroups -- Polynomial Identities of Arbitrary Degree -- Derivatives Φ(r)z=1, Ψ(r)z=1 and Π(r) z=1 -- 3 Linear Equations for Alternating Power Sums mathbbCk(Sm) -- 4 Algebraic Equations for Kr in Numerical Semigroups -- Numerical Semigroups S3 -- 5 Supplementary Relations for Kr and Gr in Symmetric Semigroups -- Symmetric (Not CI) Numerical Semigroups S4 -- Supplementary Relations for Kr and Gr in Symmetric CI Semigroups -- 6 Concluding Remarks -- References -- Lp Estimates for Bilinear Generalized Radon Transforms in the Plane -- 1 Introduction -- 2 A General Class of Bilinear Generalized Radon Transforms -- 3 Sharpness Examples -- 4 Summary of Sharpness Conditions and Vertices of Q(Bθ) -- 5 Trivial Bounds -- 6 The L32 timesL32 toL1 Estimate for the Model Operators -- 7 The L2,1 timesL2,1 toL2 Estimate for the Model Operators, 0< -- θ< -- π -- 8 The L32 timesL32 toL1 Estimate for General Operators -- 9 The L2,1timesL2,1toL2 Estimate for General Operators -- 10 Comparison with Loomis-Whitney Conditions -- References -- Expansion, Divisibility and Parity: An Explanation -- 1 Introduction -- 2 A First Attempt. 3 Graphs, Operators and Eigenvalues -- 4 Main Part of the Proof: Counting Closed Walks -- 5 Conclusions -- References -- Sums of Squares: Methods for Proving Identity Families -- 1 Motivation -- 2 Examples -- 3 Main Theorem: Statement and Proof Outline -- 4 The Seven Coefficient Groups -- 5 Detailed Outline of Proof -- 6 The Five Summands -- 7 Index Tables for Summand-I Through Summand-V -- 8 Distribution of Ni,j Across Index Sets -- 9 Conclusion -- References -- Generalized Bernoulli Numbers, Cotangent Power Sums, and Higher-Order Arctangent Numbers -- 1 Introduction -- 2 Proofs -- References -- A New Class of Minimal Asymptotic Bases -- 1 mathcalG-Adic Asymptotic Bases -- 2 Minimal Asymptotic Bases -- 3 Open Problems -- References -- An Inverse Problem for Finite Sidon Sets -- 1 Sidon Sets for Linear Forms -- 2 Monic Forms and Normalized Sets -- 3 Binary Linear Forms -- 4 Sidon Sets for Linear Forms in h 2 Variables -- 5 Open Problems -- References. |
| Record Nr. | UNINA-9910639884903321 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Combinatorial and additive number theory V : CANT, New York, USA 2021 / / edited by Melvyn B. Nathanson
| Combinatorial and additive number theory V : CANT, New York, USA 2021 / / edited by Melvyn B. Nathanson |
| Pubbl/distr/stampa | Cham, Switzerland : , : Springer, , [2022] |
| Descrizione fisica | 1 online resource (290 pages) |
| Disciplina | 069 |
| Collana | Springer Proceedings in Mathematics and Statistics |
| Soggetto topico |
Algebra
Teoria de nombres |
| Soggetto genere / forma |
Congressos
Llibres electrònics |
| ISBN |
9783031107962
9783031107955 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Intro -- Preface: Mathematics in the Time of COVID -- Contents -- On the Number of Dot Product Chains in Finite Fields and Rings -- 1 Introduction -- Background -- Notation -- Main Results -- Sharpness and Relevance of Hypotheses -- 2 Bounds on 3-Chains in mathbbFqd -- 3 Bounds on k-Chains in mathbbZqd -- 4 Bounds on k-chains in mathbbFqd -- 5 Small Set Results -- Proof of Theorem 4 -- Erratum -- References -- Completeness of Positive Linear Recurrence Sequences -- 1 Introduction -- 2 Modifying Sequences -- Maximal Complete Sequence -- Modifications of Sequences of Arbitrary Coefficients -- 3 Families of Sequences -- Using 1s and 0s as Initial Coefficients -- The ``2L-1 Conjecture'' -- 4 An Analytical Approach -- An Introduction to Principal Roots -- Applications to Completeness -- Denseness of Incomplete Roots -- 5 Open Questions -- 6 Brown's Criterion and a Corollary -- 7 Lemmas for Sect.2 -- 8 Lemmas for Sect.3 -- 9 Lemmas for Sect.4 -- References -- Length Density and Numerical Semigroups -- 1 Introduction -- 2 Background -- 3 Asymptotics and Computation -- 4 Families of Numerical Semigroups -- Supersymmetric Numerical Semigroups -- Embedding Dimension 3 Numerical Semigroups -- Maximal Embedding Dimension Numerical Semigroups -- 5 Tasty and Bland Gluings of Numerical Semigroups -- References -- On a Problem of Cilleruelo and Nathanson, II -- 1 Introduction -- 2 Proof of Theorem 1 -- 3 Proof of Theorem 2 -- References -- Linked Partition Ideals and a Schur-Type Identity of Andrews -- 1 Introduction -- 2 Linked Partition Ideals and a Matrix Equation -- 3 q-Borel Operators -- 4 Non-standard Generating Function -- 5 Theorem 1 -- 6 The Continuous q-Hermite Polynomials -- References -- Semi-magic Matrices for Dihedral Groups -- 1 Introduction -- 2 Definitions and Notations -- 3 Structure of D2n -- 4 Irreducible Types for ρ.
5 The Intertwining Operator ρ -- 6 Semi-magic Matrices -- 7 Semi-magic Squares for MM(D2n) -- 8 Alternative Counting Formulas -- 9 Orthogonal Idempotents for MM(D2n) -- 10 Quaternionic Bases -- References -- Is the Syracuse Falling Time Bounded by 12? -- 1 Introduction -- 2 Falling Time Records -- Integers Satisfying `3́9`42`"̇613A``45`47`"603Aft(n) > -- 14 -- Glide Records -- Falling Time Distribution -- A Variant of Jumps -- 3 The Syracuse Version -- Current Maximum -- A Variant of Syracuse Jumps -- 4 The Case 2ell-1 -- 5 For Very Large n -- Heuristics -- A Challenge -- References -- Genera of Numerical Semigroups and Polynomial Identities for Degrees of Syzygies -- 1 Introduction -- 2 Polynomial Identities for Numerical Semigroups -- Polynomial Identities of Arbitrary Degree -- Derivatives Φ(r)z=1, Ψ(r)z=1 and Π(r) z=1 -- 3 Linear Equations for Alternating Power Sums mathbbCk(Sm) -- 4 Algebraic Equations for Kr in Numerical Semigroups -- Numerical Semigroups S3 -- 5 Supplementary Relations for Kr and Gr in Symmetric Semigroups -- Symmetric (Not CI) Numerical Semigroups S4 -- Supplementary Relations for Kr and Gr in Symmetric CI Semigroups -- 6 Concluding Remarks -- References -- Lp Estimates for Bilinear Generalized Radon Transforms in the Plane -- 1 Introduction -- 2 A General Class of Bilinear Generalized Radon Transforms -- 3 Sharpness Examples -- 4 Summary of Sharpness Conditions and Vertices of Q(Bθ) -- 5 Trivial Bounds -- 6 The L32 timesL32 toL1 Estimate for the Model Operators -- 7 The L2,1 timesL2,1 toL2 Estimate for the Model Operators, 0< -- θ< -- π -- 8 The L32 timesL32 toL1 Estimate for General Operators -- 9 The L2,1timesL2,1toL2 Estimate for General Operators -- 10 Comparison with Loomis-Whitney Conditions -- References -- Expansion, Divisibility and Parity: An Explanation -- 1 Introduction -- 2 A First Attempt. 3 Graphs, Operators and Eigenvalues -- 4 Main Part of the Proof: Counting Closed Walks -- 5 Conclusions -- References -- Sums of Squares: Methods for Proving Identity Families -- 1 Motivation -- 2 Examples -- 3 Main Theorem: Statement and Proof Outline -- 4 The Seven Coefficient Groups -- 5 Detailed Outline of Proof -- 6 The Five Summands -- 7 Index Tables for Summand-I Through Summand-V -- 8 Distribution of Ni,j Across Index Sets -- 9 Conclusion -- References -- Generalized Bernoulli Numbers, Cotangent Power Sums, and Higher-Order Arctangent Numbers -- 1 Introduction -- 2 Proofs -- References -- A New Class of Minimal Asymptotic Bases -- 1 mathcalG-Adic Asymptotic Bases -- 2 Minimal Asymptotic Bases -- 3 Open Problems -- References -- An Inverse Problem for Finite Sidon Sets -- 1 Sidon Sets for Linear Forms -- 2 Monic Forms and Normalized Sets -- 3 Binary Linear Forms -- 4 Sidon Sets for Linear Forms in h 2 Variables -- 5 Open Problems -- References. |
| Record Nr. | UNISA-996503549903316 |
| Cham, Switzerland : , : Springer, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
The Eigenbook : Eigenvarieties, families of Galois representations, p-adic L-functions / / Joël Bellaïche
| The Eigenbook : Eigenvarieties, families of Galois representations, p-adic L-functions / / Joël Bellaïche |
| Autore | Bellaïche Joël |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XI, 316 p. 16 illus., 1 illus. in color.) |
| Disciplina | 512.7 |
| Collana | Pathways in mathematics |
| Soggetto topico |
Number theory
Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-77263-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Introduction -- Part I The ‘Eigen’ Construction -- Eigenalgebras -- Eigenvarieties -- Part II Modular Symbols and L-Functions -- Abstract Modular Symbols -- Classical Modular Symbols, Modular Forms, L-functions -- Rigid Analytic Modular Symbols and p-Adic L-functions -- Part III The Eigencurve and its p-Adic L-Functions -- The Eigencurve of Modular Symbols -- p-Adic L-Functions on the Eigencurve -- The Adjoint p-Adic L-Function and the Ramification Locus of the Eigencurve -- Solutions and Hints to Exercises. |
| Record Nr. | UNINA-9910495183803321 |
Bellaïche Joël
|
||
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
The Eigenbook : Eigenvarieties, families of Galois representations, p-adic L-functions / / Joël Bellaïche
| The Eigenbook : Eigenvarieties, families of Galois representations, p-adic L-functions / / Joël Bellaïche |
| Autore | Bellaïche Joël |
| Edizione | [1st ed. 2021.] |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2021] |
| Descrizione fisica | 1 online resource (XI, 316 p. 16 illus., 1 illus. in color.) |
| Disciplina | 512.7 |
| Collana | Pathways in mathematics |
| Soggetto topico |
Number theory
Teoria de nombres |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-030-77263-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | - Introduction -- Part I The ‘Eigen’ Construction -- Eigenalgebras -- Eigenvarieties -- Part II Modular Symbols and L-Functions -- Abstract Modular Symbols -- Classical Modular Symbols, Modular Forms, L-functions -- Rigid Analytic Modular Symbols and p-Adic L-functions -- Part III The Eigencurve and its p-Adic L-Functions -- The Eigencurve of Modular Symbols -- p-Adic L-Functions on the Eigencurve -- The Adjoint p-Adic L-Function and the Ramification Locus of the Eigencurve -- Solutions and Hints to Exercises. |
| Record Nr. | UNISA-996466402703316 |
|
Bellaïche Joël
|
||
| Cham, Switzerland : , : Birkhäuser, , [2021] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Excursions in Multiplicative Number Theory [[electronic resource] /] / by Olivier Ramaré
| Excursions in Multiplicative Number Theory [[electronic resource] /] / by Olivier Ramaré |
| Autore | Ramaré Olivier |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
| Descrizione fisica | 1 online resource (342 pages) |
| Disciplina | 512.7 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Number theory
Number Theory Teoria de nombres Multiplicació |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030731694
9783030731687 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Approach: Multiplicativity -- Arithmetic Convolution -- A Calculus on Arithmetical Functions -- Analytical Dirichlet Series -- Growth of Arithmetical Functions -- An "Algebraical" Multiplicative Function -- Möbius Inversions -- The Convolution Walk -- Handling a Smooth Factor -- The Convolution Method -- Euler Products and Euler Sums -- Some Practice -- The Hyperbola Principle -- The Levin-Fanleib Walk -- The Mertens Estimates -- The Levin-Fanleib Theorem -- Variations on a Theme of Chebyshev -- Primes in progressions -- A famous constant -- Euler Products with Primes in AP -- Chinese Remainder and Multiplicativity -- The Mellin Walk -- The Riemann zeta-function -- The Mellin Transform -- Proof Theorem ℓ -- Roughing up: Removing a Smoothening -- Proving the Prime Number Theorem -- Higher Ground: Applications / Extensions -- The Selberg Formula -- Rankin's Trick and Brun's Sieve -- Three Arithmetical Exponential Sums -- Convolution method / Möbius function -- The Large Sieve Inequality -- Montgomery's Sieve. |
| Record Nr. | UNISA-996466416403316 |
|
Ramaré Olivier
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Excursions in Multiplicative Number Theory / / by Olivier Ramaré
| Excursions in Multiplicative Number Theory / / by Olivier Ramaré |
| Autore | Ramaré Olivier |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
| Descrizione fisica | 1 online resource (342 pages) |
| Disciplina | 512.7 |
| Collana | Birkhäuser Advanced Texts Basler Lehrbücher |
| Soggetto topico |
Number theory
Number Theory Teoria de nombres Multiplicació |
| Soggetto genere / forma | Llibres electrònics |
| ISBN |
9783030731694
9783030731687 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Approach: Multiplicativity -- Arithmetic Convolution -- A Calculus on Arithmetical Functions -- Analytical Dirichlet Series -- Growth of Arithmetical Functions -- An "Algebraical" Multiplicative Function -- Möbius Inversions -- The Convolution Walk -- Handling a Smooth Factor -- The Convolution Method -- Euler Products and Euler Sums -- Some Practice -- The Hyperbola Principle -- The Levin-Fanleib Walk -- The Mertens Estimates -- The Levin-Fanleib Theorem -- Variations on a Theme of Chebyshev -- Primes in progressions -- A famous constant -- Euler Products with Primes in AP -- Chinese Remainder and Multiplicativity -- The Mellin Walk -- The Riemann zeta-function -- The Mellin Transform -- Proof Theorem ℓ -- Roughing up: Removing a Smoothening -- Proving the Prime Number Theorem -- Higher Ground: Applications / Extensions -- The Selberg Formula -- Rankin's Trick and Brun's Sieve -- Three Arithmetical Exponential Sums -- Convolution method / Möbius function -- The Large Sieve Inequality -- Montgomery's Sieve. |
| Record Nr. | UNINA-9910551828503321 |
|
Ramaré Olivier
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
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Teoria de nombres
(26)
- Number theory (22)
- Number Theory (7)
- Algebra (3)
- Mathematics (3)