Analytic Number Theory

Catalog description

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. This course section is open only to mathematics postcandidacy students. Prereq: Permission of instructor. This course is graded S/U.