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Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
| Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
| Record Nr. | UNINA-9910461830703321 |
Katz Nicholas M. <1943->
|
||
| Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
| Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
| Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
| ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
| Record Nr. | UNINA-9910789730903321 |
|
Katz Nicholas M. <1943->
|
||
| Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz
| Convolution and equidistribution [[electronic resource] ] : Sato-Tate theorems for finite-field Mellin transforms / / Nicholas M. Katz |
| Autore | Katz Nicholas M. <1943-> |
| Edizione | [Course Book] |
| Pubbl/distr/stampa | Princeton ; ; Oxford, : Princeton University Press, c2012 |
| Descrizione fisica | 1 online resource (213 p.) |
| Disciplina | 515/.723 |
| Collana | Annals of mathematics studies |
| Soggetto topico |
Mellin transform
Convolutions (Mathematics) Sequences (Mathematics) |
| Soggetto non controllato |
ArtinГchreier reduced polynomial
Emanuel Kowalski EulerАoincar formula Frobenius conjugacy class Frobenius conjugacy Frobenius tori GoursatЋolchinВibet theorem Kloosterman sheaf Laurent polynomial Legendre Mellin transform Pierre Deligne Ron Evans Tannakian category Tannakian groups Zeeev Rudnick algebro-geometric autodual objects autoduality characteristic two connectedness dimensional objects duality equidistribution exponential sums fiber functor finite field Mellin transform finite field finite fields geometrical irreducibility group scheme hypergeometric sheaf interger monic polynomials isogenies lie-irreducibility lisse middle convolution middle extension sheaf monic polynomial monodromy groups noetherian connected scheme nonsplit form nontrivial additive character number theory odd characteristic odd prime orthogonal case perverse sheaves polynomials pure weight semisimple object semisimple sheaves signs split form supermorse theorem theorems |
| ISBN |
1-283-37996-1
9786613379962 1-4008-4270-0 |
| Classificazione | SI 830 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Contents -- Introduction -- CHAPTER 1. Overview -- CHAPTER 2. Convolution of Perverse Sheaves -- CHAPTER 3. Fibre Functors -- CHAPTER 4. The Situation over a Finite Field -- CHAPTER 5. Frobenius Conjugacy Classes -- CHAPTER 6. Group-Theoretic Facts about Ggeom and Garith -- CHAPTER 7. The Main Theorem -- CHAPTER 8. Isogenies, Connectedness, and Lie-Irreducibility -- CHAPTER 9. Autodualities and Signs -- CHAPTER 10. A First Construction of Autodual Objects -- CHAPTER 11. A Second Construction of Autodual Objects -- CHAPTER 12. The Previous Construction in the Nonsplit Case -- CHAPTER 13. Results of Goursat-Kolchin-Ribet Type -- CHAPTER 14. The Case of SL(2); the Examples of Evans and Rudnick -- CHAPTER 15. Further SL(2) Examples, Based on the Legendre Family -- CHAPTER 16. Frobenius Tori and Weights; Getting Elements of Garith -- CHAPTER 17. GL(n) Examples -- CHAPTER 18. Symplectic Examples -- CHAPTER 19. Orthogonal Examples, Especially SO(n) Examples -- CHAPTER 20. GL(n) x GL(n) x ... x GL(n) Examples -- CHAPTER 21. SL(n) Examples, for n an Odd Prime -- CHAPTER 22. SL(n) Examples with Slightly Composite n -- CHAPTER 23. Other SL(n) Examples -- CHAPTER 24. An O(2n) Example -- CHAPTER 25. G2 Examples: the Overall Strategy -- CHAPTER 26. G2 Examples: Construction in Characteristic Two -- CHAPTER 27. G2 Examples: Construction in Odd Characteristic -- CHAPTER 28. The Situation over ℤ: Results -- CHAPTER 29. The Situation over ℤ: Questions -- CHAPTER 30. Appendix: Deligne's Fibre Functor -- Bibliography -- Index |
| Record Nr. | UNINA-9910824873803321 |
|
Katz Nicholas M. <1943->
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| Princeton ; ; Oxford, : Princeton University Press, c2012 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Counterexamples on uniform convergence : sequences, series, functions, and integrals / / Andrei Bourchtein, Ludmila Bourchtein
| Counterexamples on uniform convergence : sequences, series, functions, and integrals / / Andrei Bourchtein, Ludmila Bourchtein |
| Autore | Bourchtein Andrei |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2017 |
| Descrizione fisica | 1 online resource (273 pages) |
| Disciplina | 515 |
| Soggetto topico |
Mathematical analysis
Calculus Sequences (Mathematics) Functions Integrals |
| ISBN | 1-119-30342-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910160286303321 |
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Bourchtein Andrei
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| Hoboken, New Jersey : , : Wiley, , 2017 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Counting with symmetric functions [[electronic resource] /] / by Jeffrey Remmel, Anthony Mendes
| Counting with symmetric functions [[electronic resource] /] / by Jeffrey Remmel, Anthony Mendes |
| Autore | Remmel Jeffrey |
| Edizione | [1st ed. 2015.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 |
| Descrizione fisica | 1 online resource (297 p.) |
| Disciplina | 515.22 |
| Collana | Developments in Mathematics |
| Soggetto topico |
Combinatorics
Special functions Sequences (Mathematics) Special Functions Sequences, Series, Summability |
| ISBN | 3-319-23618-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface -- Permutations, Partitions, and Power Series -- Symmetric Functions -- Counting with the Elementary and Homogeneous -- Counting with a Nonstandard Basis -- Counting with RSK -- Counting Problems that Involve Symmetry -- Consecutive Patterns -- The Reciprocity Method -- Appendix: Transition Matrices -- References -- Index. |
| Record Nr. | UNINA-9910300258803321 |
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Remmel Jeffrey
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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A Course in Calculus and Real Analysis [[electronic resource] /] / by Sudhir R. Ghorpade, Balmohan V. Limaye
| A Course in Calculus and Real Analysis [[electronic resource] /] / by Sudhir R. Ghorpade, Balmohan V. Limaye |
| Autore | Ghorpade Sudhir R |
| Edizione | [2nd ed. 2018.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Descrizione fisica | 1 online resource (IX, 538 p.) |
| Disciplina | 515 |
| Collana | Undergraduate Texts in Mathematics |
| Soggetto topico |
Calculus
Functions of real variables Sequences (Mathematics) Real Functions Sequences, Series, Summability |
| ISBN | 3-030-01400-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1. Numbers and Functions -- 2. Sequences -- 3. Continuity and Limits -- 4. Differentiation -- 5. Applications of Differentiation -- 6. Integration -- 7. Elementary Transcendental Functions -- 8. Applications and Approximations of Riemann Integrals -- 9. Infinite Series and Improper Integrals -- 10. Sequences and Series of Functions, Integrals Depending on a Parameter -- A. Construction of the Real Numbers -- B. Fundamental Theorem of Algebra -- References -- List of Symbols and Abbreviations -- Index. |
| Record Nr. | UNINA-9910300099003321 |
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Ghorpade Sudhir R
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Current topics in summability theory and applications [[electronic resource] /] / edited by Hemen Dutta, Billy E. Rhoades
| Current topics in summability theory and applications [[electronic resource] /] / edited by Hemen Dutta, Billy E. Rhoades |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (436 p.) |
| Disciplina | 510 |
| Soggetto topico |
Sequences (Mathematics)
Functional analysis Approximation theory Sequences, Series, Summability Functional Analysis Approximations and Expansions |
| ISBN | 981-10-0913-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Chapter 1. An Introduction to Summability Methods -- Chapter 2. Some Topics in Summability Theory -- Chapter 3. Summability and Convergence using Ideals -- Chapter 4. Convergence Acceleration and Improvement by Regular Matrices -- Chapter 5. On Summability, Multipliability and Integrability -- Chapter 6. Multi-dimensional Summability Theory and Continuous Wavelet Transform -- Chapter 7. Absolute Riesz and Related Summability Methods -- Chapter 8. Some Applications of Summability Theory -- Chapter 9. Degree of Approximation of Functions through Summability Methods. |
| Record Nr. | UNINA-9910254075603321 |
| Singapore : , : Springer Singapore : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Divergent Series, Summability and Resurgence I [[electronic resource] ] : Monodromy and Resurgence / / by Claude Mitschi, David Sauzin
| Divergent Series, Summability and Resurgence I [[electronic resource] ] : Monodromy and Resurgence / / by Claude Mitschi, David Sauzin |
| Autore | Mitschi Claude |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XXI, 298 p. 24 illus., 19 illus. in color.) |
| Disciplina | 510.71 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Difference equations Functional equations Dynamics Ergodic theory Topological groups Lie groups Ordinary Differential Equations Sequences, Series, Summability Difference and Functional Equations Dynamical Systems and Ergodic Theory Topological Groups, Lie Groups |
| ISBN | 3-319-28736-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface.-Preface to the three volumes -- Part I:Monodromy in Linear Differential Equations -- 1 analytic continuation and monodromy -- Differential Galois Theory -- Inverse Problems -- The Riemann-Hilbert problem -- Part II: Introduction to 1-Summability and Resurgence -- 5 Borel-Laplace Summation -- Resurgent Functions and Alien Calculus -- the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs -- Acknowledgements -- Index. |
| Record Nr. | UNINA-9910136548603321 |
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Mitschi Claude
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Divergent Series, Summability and Resurgence I [[electronic resource] ] : Monodromy and Resurgence / / by Claude Mitschi, David Sauzin
| Divergent Series, Summability and Resurgence I [[electronic resource] ] : Monodromy and Resurgence / / by Claude Mitschi, David Sauzin |
| Autore | Mitschi Claude |
| Edizione | [1st ed. 2016.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
| Descrizione fisica | 1 online resource (XXI, 298 p. 24 illus., 19 illus. in color.) |
| Disciplina | 510.71 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations
Sequences (Mathematics) Difference equations Functional equations Dynamics Ergodic theory Topological groups Lie groups Ordinary Differential Equations Sequences, Series, Summability Difference and Functional Equations Dynamical Systems and Ergodic Theory Topological Groups, Lie Groups |
| ISBN | 3-319-28736-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface.-Preface to the three volumes -- Part I:Monodromy in Linear Differential Equations -- 1 analytic continuation and monodromy -- Differential Galois Theory -- Inverse Problems -- The Riemann-Hilbert problem -- Part II: Introduction to 1-Summability and Resurgence -- 5 Borel-Laplace Summation -- Resurgent Functions and Alien Calculus -- the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs -- Acknowledgements -- Index. |
| Record Nr. | UNISA-996466755403316 |
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Mitschi Claude
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| Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Divergent series, summability and resurgence I [e-book] : Monodromy and resurgence / by Claude Mitschi, David Sauzin
| Divergent series, summability and resurgence I [e-book] : Monodromy and resurgence / by Claude Mitschi, David Sauzin |
| Autore | Mitschi, Claude |
| Pubbl/distr/stampa | Cham : Springer, 2016 |
| Descrizione fisica | 1 online resource |
| Disciplina | 515.352 |
| Altri autori (Persone) | Sauzin, Davidauthor |
| Altri autori (Enti) | SpringerLink (Online service) |
| Collana | Lecture Notes in Mathematics, 0075-8434 ; 2153 |
| Soggetto topico |
Topological groups
Lie groups Difference equations Functional equations Dynamics Ergodic theory Differential equations Sequences (Mathematics) |
| ISBN | 9783319287362 |
| Classificazione | AMS 40-02 |
| Formato | Software  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Preface ; Preface to the three volumes. Part I: Monodromy in Linear Differential Equations ; 1 analytic continuation and monodromy ; Differential Galois Theory ; Inverse Problems ; The Riemann-Hilbert problem. Part II: Introduction to 1-Summability and Resurgence ; 5 Borel-Laplace Summation ; Resurgent Functions and Alien Calculus ; the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs ; Acknowledgements ; Index |
| Record Nr. | UNISALENTO-991003409249707536 |
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Mitschi, Claude
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| Cham : Springer, 2016 | ||
| Software | ||
| Lo trovi qui: Univ. del Salento | ||
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