On a conjecture for representations of integers as sums of squares and double shuffle relations

Abstract

In this paper, we prove a conjecture of Chan and Chua for the number of representations of integers as sums of 8s integral squares. The proof uses a theorem of Imamoglu and Kohnen, and the double shuffle relations satisfied by the double Eisenstein series of level 2.

arXiv comment15 pages

References in corpus (1)

• Double zeta values, double Eisenstein series, and modular forms of level 2