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arXiv · 2002.02324

Poisson summation formulas involving the sum-of-squares function

Nir Lev·Gilad Reti
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Abstract

We obtain new Poisson type summation formulas with nodes $\pm \sqrt{n}$ and with weights involving the function $r_k(n)$ that gives the number of representations of a positive integer $n$ as the sum of $k$ squares. Our results extend summation formulas due to Guinand and Meyer that involve the sum-of-three-squares function $r_3(n)$.

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Nir Lev, Gilad Reti. 2020-02-06. Poisson summation formulas involving the sum-of-squares function. https://arxiv.org/abs/2002.02324

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