arXiv Analytics

Sign in

arXiv:1812.10725 [math.NT]AbstractReferencesReviewsResources

Sums of squares in real quadratic fields and Hilbert modular groups

Fernando Chamizo, Roberto J. Miatello

Published 2018-12-27Version 1

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.

Comments: 21 pages
Categories: math.NT
Subjects: 11F72, 11F41, 11N45
Related articles: Most relevant | Search more
arXiv:0912.1692 [math.NT] (Published 2009-12-09)
Eigenvalues of Hecke operators on Hilbert modular groups
arXiv:math/0202189 [math.NT] (Published 2002-02-19)
Density results for automorphic forms on Hilbert modular groups
arXiv:0905.3247 [math.NT] (Published 2009-05-20)
Density results for automorphic forms on Hilbert modular groups II

Links

Toolbox