Moments of zeta and L-functions on the critical Line II (3 of 3)

授课人:K. Soundararajan

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Number Theory;   

加拿大|英语

【 摘 要 】

I will discuss techniques to get upper and lower bounds for moments of zeta and L-functions. The lower bounds are unconditional and the upper bounds in general rely on the Riemann Hypothesis. In several cases of low moments, one can obtain asymptotics, and I may discuss a couple of such recent cases.This lecture is part of a series of 3.Lecture 1: distribution-values-zeta-and-l-functions-1-3Lecture 2: Moments of zeta and L-functions on the Critical Line, ILecture 3: Moments of zeta and L-functions on the critical line, II

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