Problems In Analytic Number Theory - Murty M-Ram

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Résumé :
This book gives a problem-solving approach to the difficult subject of analytic number theory. It is primarily aimed at graduate and senior undergraduate students. The goal is to give a rapid introduction of how analytic methods are used to study the distribution of prime numbers. The book also includes an introduction to p-adic analytic methods. It is ideal for a first course in analytic number theory.

Biographie:
M. Ram Murty is Professor of Mathematics and Queen's National Scholar at Queen's University in Kingston, Ontario, Canada. He received his Ph.D. from MIT in 1980 and was a member of the Institute for Advanced Study and the Tata Institute of Fundamental Research on numerous occasions. He was E.W.R. Steacie Fellow (1991-93), Killam Research Fellow (1998-2000), and elected Fellow of the Royal Society of Canada (1990). His monograph, Non-Vanishing of L-Functions and Applications, written jointly with V. Kumar Murty and published by Birkhäuser-Verlag, won the 1996 Balaguer Prize.

Sommaire:
["PROBLEMS","Arithmetic functions","Primes in arithmetic progressions","The prime number theorem","The method of contour integration","Functional equations","Hadamard products","Explicit formulas","The Selberg class","Sieve methods","p-adic methods","SOLUTIONS","Arithmetic functions","Primes in arithmetic progressions","The prime number theorem","The method of contour integration","Functional equations","Hadamard products","Explicit formulas","The Selberg class","Sieve methods","p-adic methods."]