Interesting identities involving weighted representations of integers as sums of arbitrarily many squares
| Autor: | Jang, Min-Joo, Kane, Ben, Kohnen, Winfried, Man, Siu-Hang |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1073/pnas.1906632116 |
| Popis: | 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. |
| Databáze: | arXiv |
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