Convolution identities for divisor functionsOberseminar Global Analysis and Operator Algebras

by Ksenia Fedosova (Uni Münster)

Tuesday Jan 27, 2026, 2:15 PM → 3:45 PM Europe/Berlin

Endenicher Allee 60/1-008 (Mathezentrum)

In this talk, we study convolution sums of divisor functions with 
(complex) indices. We show that a natural class of such convolution 
sums  admits exact identities in terms of Fourier coefficients of Hecke 
cusp forms weighted by (not necessarily critical) values of their 
L-functions. The approach uses spectral methods and involves the 
Estermann zeta functions and the Petersson and Kuznetsov trace formulas.