Moments of ideal class counting functions
Number Theory
2024-01-09 v1 Representation Theory
Abstract
We consider the counting function of ideals in a given ideal class of a number field of degree . This describes, at least conjecturally, the Fourier coefficients of an automorphic form on , typically not a Hecke eigenform and not cuspidal. We compute its moments, and also investigate the moments of the corresponding cuspidal projection.
Cite
@article{arxiv.2307.02380,
title = {Moments of ideal class counting functions},
author = {Kam Cheong Au},
journal= {arXiv preprint arXiv:2307.02380},
year = {2024}
}