Mass Distribution for holomorphic cusp forms on the vertical geodesic

Autor:	Sun, Qingfeng, Zhang, Qizhi
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We compute the quantum variance of holomorphic cusp forms on the vertical geodesic for smooth compactly supported test functions. As an application we show that almost all holomorphic Hecke cusp forms, whose weights are in a short interval, satisfy QUE conjecture on the vertical geodesic. Comment: 22 pages. arXiv admin note: substantial text overlap with arXiv:2111.04713 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.15259 Zobrazit plný text záznamu View this record from Arxiv