Partitions into Sums of Two Squares

Fuente: arXiv
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Auteur principal: Palacios, Jaime
Format: Preprint
Publié: 2025
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author Palacios, Jaime
author_facet Palacios, Jaime
contents 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
format Preprint
id arxiv_https___arxiv_org_abs_2508_17662
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Partitions into Sums of Two Squares
Palacios, Jaime
Number Theory
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
title Partitions into Sums of Two Squares
topic Number Theory
url https://arxiv.org/abs/2508.17662