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Gauss And Jacobi Sums
Devised in the 19th century, Gauss and Jacobi Sums are classical formulas that form the basis for contemporary research in many of today's;
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Hadamard Matrices
discussion of the basic definitions used for Hadamard Matrices as well as more advanced topics in the subject, including: Gauss sums, Jacobi sums and;
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Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116
of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution;
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Topics In Number Theory
This is a first-ever textbook written in English about the theory of modular forms and Jacobi forms of several variables. It contains the;
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Fundamenta Nova Theoriae Functionum Ellipticarum
was made by his work on elliptic functions. Elliptic integrals had been studied for a long time, but in 1827 Jacobi and Niels Henrik Abel realised;
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Elliptic and Modular Functions from Gauss to Dedekind to Hecke
today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular;
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Number Theory in the Spirit of Liouville
dating back to Euler, Jacobi, Dirichlet, Ramanujan and others, and they continue to be the subject of current mathematical research. Williams;
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Number Theory in the Spirit of Liouville
dating back to Euler, Jacobi, Dirichlet, Ramanujan and others, and they continue to be the subject of current mathematical research. Williams;
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Introduction to Cyclotomic Fields
Conjecture, as well as a chapter on other recent developments, such as primality testing via Jacobi sums and Sinnott's proof of the vanishing;
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Introduction to Number Theory
theory including the distribution of primes, sums of squares, continued factions, the Legendre, Jacobi and Kronecker symbols, the class group and;
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Elliptic Curves
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;
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Elliptic Curves
The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre;
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Introduction To Vassiliev Knot Invariants
. This is followed by a detailed study of the algebras of Jacobi diagrams and 3-graphs, and the construction of functions on these algebras via;
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Weyl Group Multiple Dirichlet Series
series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple;
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Basic Hypergeometric Series and Applications
series. These series were first studied systematically by Heine, but many early results are attributed to Euler, Gauss, and Jacobi. Today;
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Tracking Filter Engineering
the expanding and fading memory polynomial filters based on the Legendre and Laguerre orthogonal polynomials, and how these can serve as pre;
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Approximation Theory and Analytic Inequalities
operators, PDEs, fractional integral inequalities, multidimensional numerical integration, Gauss-Jacobi and Hermite-Hadamard type inequalities;
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Arithmetic of Quadratic Forms
This book is divided into two parts. The first part is preliminary and consists of algebraic number theory and the theory of semisimple;
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