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arXiv · 1904.06794

Interesting identities involving weighted representations of integers as sums of arbitrarily many squares

Min-Joo Jang·Ben Kane·Winfried Kohnen·Siu-Hang Man
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Abstract

In this paper, we obtain formulas for the number of representations of positive integers as sums of arbitrarily many squares (and other polygonal numbers) with a certain natural weighting. The resulting weighted sums give Fourier coefficients of weight two quasimodular forms.

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Min-Joo Jang, Ben Kane, Winfried Kohnen, Siu-Hang Man. 2019-04-15. Interesting identities involving weighted representations of integers as sums of arbitrarily many squares. https://doi.org/10.1073/pnas.1906632116

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