Special values of Artin L-series (3 of 3)

授课人:Ram Murty

机构:Pacific Institute for the Mathematical Sciences(PIMS)

关键词: Scientific;    Mathematics;    Number Theory;   

加拿大|英语

【 摘 要 】

Dirichlet鈥檚 class number formula has a nice conjectural generalization in the form of Stark鈥檚 conjectures. These conjectures pertain to the value of Artin L-series at s = 1. However, the special values at other integer points also are interesting and in this context, there is a famous conjecture of Zagier. We will give a brief outline of this and display some recent results.This lecture is part of a series of 3.Lecture 1: Introduction to Artin L-seriesLecture 2: Holomorphy Conjecture and Recent ProgressLecture 3: Special Values of Artin L-series

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