On the Zeros of the Miller Basis of Cusp Forms

Autor:	Raveh, Roei
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We study the zeros of cusp forms in the Miller basis whose vanishing order at infinity is a fixed number $m$. We show that for sufficiently large weights, the finite zeros in the fundamental domain of such forms, all lie on the circular part of the boundary of the fundamental domain. We further show and quantify an effective bound for the weight, which is linear in terms of $m$.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.01184 Zobrazit plný text záznamu View this record from Arxiv