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Bestseller
BestsellerE-book
Author Stopple, Jeffrey, 1958-

Title A primer of analytic number theory : from Pythagoras to Riemann / Jeffrey Stopple.

Publication Info. Cambridge, UK ; New York : Cambridge University Press, 2003.

Item Status

Description 1 online resource (xiii, 383 pages) : illustrations
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references (pages 375-377) and index.
Contents Sums and differences -- Products and divisibility -- Order and magnitude -- Averages -- Calculus -- Primes -- Series -- Basel problem -- Euler's product -- Complex numbers -- The Riemann zeta function -- Symmetry -- Explicit formula -- Modular arithmetic -- Pell's equation -- Elliptic curves -- Analytic theory of algebraic numbers.
Summary "This undergraduate introduction to analytic number theory develops analytic skills in the course of a study of ancient questions on polygonal numbers, perfect numbers, and amicable pairs. The question of how the primes are distributed among all integers is central in analytic number theory. This distribution is determined by the Riemann zeta function, and Riemann's work shows how it is connected to the zeros of his function and the significance of the Riemann Hypothesis."--Jacket.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Number theory.
Number theory.
Genre/Form Electronic books.
Electronic books.
Other Form: Print version: Stopple, Jeffrey, 1958- Primer of analytic number theory. Cambridge, UK ; New York : Cambridge University Press, 2003 0521813093 (DLC) 2002041263 (OCoLC)51047132
ISBN 9780511064708 (electronic book)
0511064705 (electronic book)
9780511755132 (electronic book)
0511755139 (electronic book)
1280419695
9781280419690
051107316X
9780511073168
0521813093
9780521813099
0521012538
9780521012539