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.
Credit Hours:
3.0
Course Description Download:
Textbook
Title:
Analytic Number Theory
Publisher:
AMS
ISBN:
9780821836330