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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
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| 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 [[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 |
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Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
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| Cambridge : , : Cambridge University Press, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
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Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
|
||
| Cambridge : , : Cambridge University Press, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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-9910812797303321 |
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Koni︠a︡gin S. V (Sergeĭ Vladimirovich)
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||
| Cambridge : , : Cambridge University Press, , 1999 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
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Katz Nicholas M.
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| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Bachman Gennady <1959->
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| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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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 |
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Bachman Gennady <1959->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
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 |
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Bachman Gennady <1959->
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||
| Providence, Rhode Island : , : American Mathematical Society, , 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Exponential sums
(8)
- Cyclotomy (3)
- Polynomials (3)
- Differential equations (1)
- Lattice theory (1)