Séminaire de théorie spectrale et géométrie, no 9, année 1990-1991
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Page : 196 pages
File Size : 37,86 MB
Release : 1990
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Page : 196 pages
File Size : 37,86 MB
Release : 1990
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Author : Université de Grenoble-I.
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Page : 196 pages
File Size : 39,33 MB
Release : 1991
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Page : 196 pages
File Size : 37,54 MB
Release : 1991
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Author : Université de Grenoble-I.
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Page : 101 pages
File Size : 26,68 MB
Release : 1990
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Page : 101 pages
File Size : 10,63 MB
Release : 1990
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Page : 149 pages
File Size : 47,53 MB
Release : 1992
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Author : Institut Fourier. Laboratoires de mathématiques
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Page : 227 pages
File Size : 18,75 MB
Release : 1997
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Author : Graham Everest
Publisher : American Mathematical Soc.
Page : 338 pages
File Size : 33,1 MB
Release : 2015-09-03
Category : Mathematics
ISBN : 1470423154
Recurrence sequences are of great intrinsic interest and have been a central part of number theory for many years. Moreover, these sequences appear almost everywhere in mathematics and computer science. This book surveys the modern theory of linear recurrence sequences and their generalizations. Particular emphasis is placed on the dramatic impact that sophisticated methods from Diophantine analysis and transcendence theory have had on the subject. Related work on bilinear recurrences and an emerging connection between recurrences and graph theory are covered. Applications and links to other areas of mathematics are described, including combinatorics, dynamical systems and cryptography, and computer science. The book is suitable for researchers interested in number theory, combinatorics, and graph theory.
Author : Carlos J. Moreno
Publisher : American Mathematical Soc.
Page : 313 pages
File Size : 50,29 MB
Release : 2005
Category : Mathematics
ISBN : 0821842668
Since the pioneering work of Euler, Dirichlet, and Riemann, the analytic properties of L-functions have been used to study the distribution of prime numbers. With the advent of the Langlands Program, L-functions have assumed a greater role in the study of the interplay between Diophantine questions about primes and representation theoretic properties of Galois representations. This book provides a complete introduction to the most significant class of L-functions: the Artin-Hecke L-functions associated to finite-dimensional representations of Weil groups and to automorphic L-functions of principal type on the general linear group. In addition to establishing functional equations, growth estimates, and non-vanishing theorems, a thorough presentation of the explicit formulas of Riemann type in the context of Artin-Hecke and automorphic L-functions is also given. The survey is aimed at mathematicians and graduate students who want to learn about the modern analytic theory of L-functions and their applications in number theory and in the theory of automorphic representations. The requirements for a profitable study of this monograph are a knowledge of basic number theory and the rudiments of abstract harmonic analysis on locally compact abelian groups.
Author : Pierre H. Berard
Publisher : Springer
Page : 284 pages
File Size : 49,79 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540409580