Sums of squares in real quadratic fields and Hilbert modular groups
Number Theory
2020-02-05 v1
Abstract
We use the spectral theory of Hilbert-Maass forms for real quadratic fields to obtain the asymptotics of some sums involving the number of representations as a sum of two squares in the ring of integers.
Keywords
Cite
@article{arxiv.1812.10725,
title = {Sums of squares in real quadratic fields and Hilbert modular groups},
author = {Fernando Chamizo and Roberto J. Miatello},
journal= {arXiv preprint arXiv:1812.10725},
year = {2020}
}
Comments
21 pages