Danylo Radchenko: Convolution identities for sums of even powers of divisors

Speaker
Danylo Radchenko, CNRS

Abstract
As a part of asymptotic calculation of correlation functions in N=4 supersymmetric Yang-Mills theory,Chester, Green, Pufu, Wang, and Wen have conjectured an unusual-looking weighted convolution identity involving the sum of squares of divisors function sigma_2. I will talk about a proof of this conjecture as well as a more general class of similar identities, which turn out to involve Fourier coefficients of cusp forms for SL2(Z). The talk is based on a recent joint work with Ksenia Fedosova and Kim Klinger-Logan.