Partitions into Sums of Two Squares

Jaime Palacios

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arXiv · 2508.17662

Partitions into Sums of Two Squares

Jaime Palacios

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Abstract

We use a variation of the Circle Method, along with the Saddle Point Method, to obtain an asymptotic formula for the number of partitions of a number n into integers which are sums of two squares. Unlike previous work on partitions into restricted parts, we need to handle a Dirichlet series with a fractional singularity

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Jaime Palacios. 2025-08-25. Partitions into Sums of Two Squares. https://arxiv.org/abs/2508.17662

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