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

Mathematics – Number Theory

Scientific paper

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15 pages

Scientific paper

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 Imamo\={g}lu and Kohnen, and the double shuffle relations satisfied
by the double Eisenstein series of level 2.

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