Partitions into Sums of Two Squares

2025/08/25 by Palacios, Jaime
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.17662

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

Citations

• Partitions into semiprimes
• Power Partitions

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