Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Oberseminar zur Algebra und Zahlentheorie

 

Pieter Moree
MPIM Bonn

 
spricht am
 
Donnerstag, 23. Juni 2022
 
um
 
12:15 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»The Euler constant and its dangerous friends«

Abstract:
The Euler constant is one of the basic constants in mathematics. In my talk I will focus on analogues that arise on studying the finer asymptotic behavior of certain counting functions, such as the counting function of the integers that can be written as sum of two integer squares and counting functions related to the non-divisibility of the Ramanujan tau-function. In both cases Ramanujan made some conjectures here that we now know to be false. I will also discuss my disproof (joint work with Kevin Ford and Florian Luca) of a conjecture of Yasutaka Ihara on the positivity of the Euler constant for cyclotomic number fields. The talk will demonstrate how risky it is to make conjectures in analytic number theory.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov



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