Moments of ideal class counting functions
arXiv:2307.02380 · doi:10.1016/j.jnt.2023.11.011
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.