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Area, lattice points, and exponential sums / M. N. Huxley
Area, lattice points, and exponential sums / M. N. Huxley
Autore Huxley, Martin Neil
Pubbl/distr/stampa Oxford : Clarendon Press, 1996
Descrizione fisica xii, 494 p. ; 24 cm
Disciplina 512.73
Collana London Mathematical Society monographs. New ser., 0076-0560 ; 13
Soggetto topico Exponential sums
Lattice theory
Zeta functions
ISBN 0198534663
Classificazione AMS 11L03
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000696579707536
Huxley, Martin Neil  
Oxford : Clarendon Press, 1996
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski
Autore Koniagin S. V (Sergei Vladimirovich)
Edizione [1st ed.]
Pubbl/distr/stampa Cambridge ; ; New York, : Cambridge University Press, 1999
Descrizione fisica 1 online resource (viii, 163 pages) : digital, PDF file(s)
Disciplina 512/.73
Altri autori (Persone) ShparlinskiIgor E
Collana Cambridge tracts in mathematics
Soggetto topico Exponential sums
ISBN 1-107-12817-X
1-280-43245-4
9786610432455
0-511-17763-1
0-511-04036-9
0-511-14804-6
0-511-33017-0
0-511-54293-3
0-511-05179-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Preliminaries -- 1. Introduction -- 2. Notation and Auxiliary Results -- pt. 2. Bounds of Character Sums -- 3. Bounds of Long Character Sums -- 4. Bounds of Short Character Sums -- 5. Bounds of Character Sums for Almost All Moduli -- 6. Bounds of Gaussian Sums -- pt. 3. Multiplicative Translations of Sets -- 7. Multiplicative Translations of Subgroups of F*[subscript p] -- 8. Multiplicative Translations of Arbitrary Sets Modulo p -- pt. 4. Applications to Algebraic Number Fields -- 9. Representatives of Residue Classes -- 10. Cyclotomic Fields and Gaussian Periods -- pt. 5. Applications to Pseudo-Random Number Generators -- 11. Prediction of Pseudo-Random Number Generators -- 12. Congruential Pseudo-Random Number Generators -- pt. 6. Applications to Finite Fields -- 13. Small mth Roots Modulo p -- 14. Supersingular Hyperelliptic Curves -- 15. Distribution of Powers of Primitive Roots -- pt. 7. Applications to Coding Theory and Combinatorics -- 16. Difference Sets in V[subscript p] -- 17. Dimension of BCH Codes -- 18. An Enumeration Problem in Finite Fields.
Record Nr. UNINA-9910812797303321
Koniagin S. V (Sergei Vladimirovich)  
Cambridge ; ; New York, : Cambridge University Press, 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]]
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]]
Autore Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 1999
Descrizione fisica 1 online resource (viii, 163 pages) : digital, PDF file(s)
Disciplina 512/.73
Collana Cambridge tracts in mathematics
Soggetto topico Exponential sums
ISBN 1-107-12817-X
1-280-43245-4
9786610432455
0-511-17763-1
0-511-04036-9
0-511-14804-6
0-511-33017-0
0-511-54293-3
0-511-05179-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Preliminaries -- 1. Introduction -- 2. Notation and Auxiliary Results -- pt. 2. Bounds of Character Sums -- 3. Bounds of Long Character Sums -- 4. Bounds of Short Character Sums -- 5. Bounds of Character Sums for Almost All Moduli -- 6. Bounds of Gaussian Sums -- pt. 3. Multiplicative Translations of Sets -- 7. Multiplicative Translations of Subgroups of F*[subscript p] -- 8. Multiplicative Translations of Arbitrary Sets Modulo p -- pt. 4. Applications to Algebraic Number Fields -- 9. Representatives of Residue Classes -- 10. Cyclotomic Fields and Gaussian Periods -- pt. 5. Applications to Pseudo-Random Number Generators -- 11. Prediction of Pseudo-Random Number Generators -- 12. Congruential Pseudo-Random Number Generators -- pt. 6. Applications to Finite Fields -- 13. Small mth Roots Modulo p -- 14. Supersingular Hyperelliptic Curves -- 15. Distribution of Powers of Primitive Roots -- pt. 7. Applications to Coding Theory and Combinatorics -- 16. Difference Sets in V[subscript p] -- 17. Dimension of BCH Codes -- 18. An Enumeration Problem in Finite Fields.
Altri titoli varianti Character Sums with Exponential Functions & their Applications
Record Nr. UNINA-9910449865203321
Koni︠a︡gin S. V (Sergeĭ Vladimirovich)  
Cambridge : , : Cambridge University Press, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]]
Character sums with exponential functions and their applications / / Sergei V. Konyagin, Igor E. Shparlinski [[electronic resource]]
Autore Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
Pubbl/distr/stampa Cambridge : , : Cambridge University Press, , 1999
Descrizione fisica 1 online resource (viii, 163 pages) : digital, PDF file(s)
Disciplina 512/.73
Collana Cambridge tracts in mathematics
Soggetto topico Exponential sums
ISBN 1-107-12817-X
1-280-43245-4
9786610432455
0-511-17763-1
0-511-04036-9
0-511-14804-6
0-511-33017-0
0-511-54293-3
0-511-05179-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Preliminaries -- 1. Introduction -- 2. Notation and Auxiliary Results -- pt. 2. Bounds of Character Sums -- 3. Bounds of Long Character Sums -- 4. Bounds of Short Character Sums -- 5. Bounds of Character Sums for Almost All Moduli -- 6. Bounds of Gaussian Sums -- pt. 3. Multiplicative Translations of Sets -- 7. Multiplicative Translations of Subgroups of F*[subscript p] -- 8. Multiplicative Translations of Arbitrary Sets Modulo p -- pt. 4. Applications to Algebraic Number Fields -- 9. Representatives of Residue Classes -- 10. Cyclotomic Fields and Gaussian Periods -- pt. 5. Applications to Pseudo-Random Number Generators -- 11. Prediction of Pseudo-Random Number Generators -- 12. Congruential Pseudo-Random Number Generators -- pt. 6. Applications to Finite Fields -- 13. Small mth Roots Modulo p -- 14. Supersingular Hyperelliptic Curves -- 15. Distribution of Powers of Primitive Roots -- pt. 7. Applications to Coding Theory and Combinatorics -- 16. Difference Sets in V[subscript p] -- 17. Dimension of BCH Codes -- 18. An Enumeration Problem in Finite Fields.
Altri titoli varianti Character Sums with Exponential Functions & their Applications
Record Nr. UNINA-9910777087703321
Koni︠a︡gin S. V (Sergeĭ Vladimirovich)  
Cambridge : , : Cambridge University Press, , 1999
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Exponential Sums and Differential Equations. (AM-124), Volume 124 / / Nicholas M. Katz
Autore Katz Nicholas M.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (445 pages) : illustrations
Disciplina 512/.73
Collana Annals of Mathematics Studies
Soggetto topico Exponential sums
Differential equations
Soggetto non controllato Adjoint representation
Algebraic geometry
Algebraic integer
Algebraically closed field
Automorphism
Base change
Bernard Dwork
Big O notation
Bijection
Calculation
Characteristic polynomial
Codimension
Coefficient
Cohomology
Comparison theorem
Complex manifold
Conjugacy class
Connected component (graph theory)
Convolution
Determinant
Diagram (category theory)
Differential Galois theory
Differential equation
Dimension (vector space)
Dimension
Direct sum
Divisor
Eigenvalues and eigenvectors
Endomorphism
Equation
Euler characteristic
Existential quantification
Exponential sum
Fiber bundle
Field of fractions
Finite field
Formal power series
Fourier transform
Fundamental group
Fundamental representation
Galois extension
Galois group
Gauss sum
Generic point
Group theory
Homomorphism
Hypergeometric function
Identity component
Identity element
Integer
Irreducibility (mathematics)
Irreducible representation
Isogeny
Isomorphism class
L-function
Laurent polynomial
Lie algebra
Logarithm
Mathematical induction
Matrix coefficient
Maximal compact subgroup
Maximal torus
Mellin transform
Monic polynomial
Monodromy theorem
Monodromy
Monomial
Natural number
Normal subgroup
P-adic number
Permutation
Polynomial
Prime number
Pullback
Quotient group
Reductive group
Regular singular point
Representation theory
Ring homomorphism
Root of unity
Scientific notation
Set (mathematics)
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Subring
Subset
Summation
Surjective function
Symmetric group
Tensor product
Theorem
Theory
Three-dimensional space (mathematics)
Torsor (algebraic geometry)
Trichotomy (mathematics)
Unitarian trick
Unitary group
Variable (mathematics)
ISBN 1-4008-8243-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- CHAPTER 1. Results from Representation Theory -- CHAPTER 2. D.E.'s and D-modules -- CHAPTER 3. The Generalized Hypergeometric Equation -- CHAPTER 4. Detailed Analysis of the Exceptional Cases -- CHAPTER 5. Convolution of D-modules -- CHAPTER 6. Fourier Transforms of Kummer Pullbacks of Hypergeometrics -- CHAPTER 7. The ℓ- adic Theory -- CHAPTER 8. ℓ-adic Hypergeometrics -- CHAPTER 9. G2 Examples, Fourier Transforms, and Hypergeometrics -- CHAPTER 10. ℓ -adic Exceptional Cases -- CHAPTER 11. Reductive Tannakian Categories -- CHAPTER 12. Fourier Universality -- CHAPTER 13. Stratifications and Convolution -- CHAPTER 14. The Fundamental Comparison Theorems -- References
Record Nr. UNINA-9910154744703321
Katz Nicholas M.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
On the coefficients of cyclotomic polynomials / / Gennady Bachman
On the coefficients of cyclotomic polynomials / / Gennady Bachman
Autore Bachman Gennady <1959->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1993
Descrizione fisica 1 online resource (93 p.)
Disciplina 512/.72
Collana Memoirs of the American Mathematical Society
Soggetto topico Exponential sums
Cyclotomy
Polynomials
Soggetto genere / forma Electronic books.
ISBN 1-4704-0087-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""0. Introduction""; ""1. Statement of results""; ""2. Proof of Theorem 0; the upper bound""; ""3. Preliminaries""; ""4. Proof of Theorem 1; the minor arcs estimate""; ""5. Proof of Theorem 1; the major arcs estimate""; ""6. Proof of Theorem 2; preliminaries""; ""7. Proof of Theorem 2; completion""; ""8. Proof of Propositions 1 and 2""; ""9. Proof of Theorem 3""; ""Appendix""; ""References""
Record Nr. UNINA-9910480583503321
Bachman Gennady <1959->  
Providence, Rhode Island : , : American Mathematical Society, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
On the coefficients of cyclotomic polynomials / / Gennady Bachman
On the coefficients of cyclotomic polynomials / / Gennady Bachman
Autore Bachman Gennady <1959->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1993
Descrizione fisica 1 online resource (93 p.)
Disciplina 512/.72
Collana Memoirs of the American Mathematical Society
Soggetto topico Exponential sums
Cyclotomy
Polynomials
ISBN 1-4704-0087-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""0. Introduction""; ""1. Statement of results""; ""2. Proof of Theorem 0; the upper bound""; ""3. Preliminaries""; ""4. Proof of Theorem 1; the minor arcs estimate""; ""5. Proof of Theorem 1; the major arcs estimate""; ""6. Proof of Theorem 2; preliminaries""; ""7. Proof of Theorem 2; completion""; ""8. Proof of Propositions 1 and 2""; ""9. Proof of Theorem 3""; ""Appendix""; ""References""
Record Nr. UNINA-9910788752903321
Bachman Gennady <1959->  
Providence, Rhode Island : , : American Mathematical Society, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
On the coefficients of cyclotomic polynomials / / Gennady Bachman
On the coefficients of cyclotomic polynomials / / Gennady Bachman
Autore Bachman Gennady <1959->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1993
Descrizione fisica 1 online resource (93 p.)
Disciplina 512/.72
Collana Memoirs of the American Mathematical Society
Soggetto topico Exponential sums
Cyclotomy
Polynomials
ISBN 1-4704-0087-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""0. Introduction""; ""1. Statement of results""; ""2. Proof of Theorem 0; the upper bound""; ""3. Preliminaries""; ""4. Proof of Theorem 1; the minor arcs estimate""; ""5. Proof of Theorem 1; the major arcs estimate""; ""6. Proof of Theorem 2; preliminaries""; ""7. Proof of Theorem 2; completion""; ""8. Proof of Propositions 1 and 2""; ""9. Proof of Theorem 3""; ""Appendix""; ""References""
Record Nr. UNINA-9910817227603321
Bachman Gennady <1959->  
Providence, Rhode Island : , : American Mathematical Society, , 1993
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui