Arithmetic Progressions of Squares and Multiple Dirichlet Series
Number Theory
2025-07-28 v4
Abstract
We study a Dirichlet series in two variables which counts primitive three-term arithmetic progressions of squares. We show that this multiple Dirichlet series has meromorphic continuation to and use Tauberian methods to obtain counts for arithmetic progressions of squares and rational points on .
Cite
@article{arxiv.2007.14324,
title = {Arithmetic Progressions of Squares and Multiple Dirichlet Series},
author = {Thomas A. Hulse and Chan Ieong Kuan and David Lowry-Duda and Alexander Walker},
journal= {arXiv preprint arXiv:2007.14324},
year = {2025}
}
Comments
32 pages, now revised with referee comments