Analytic Number Theory

MATH 7122.01: Analytic Number Theory

Properties and examples of L-functions; primes in arithmetic progression; Riemann-Weil formula; non-vanishing theorem; analysis of L-functions on the critical line; principle of large sieve; Brauer-Siegel theorem, Ikehara-Tauberian theorem.
Prereq: 7121.01 and 6222. Not open to students with credit for 7122.02.
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Title: Analytic Number Theory
Author: Iwaniec & Kowalski
Publisher: AMS
ISBN: 9780821836330

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