Explicit formulae for linear characters of $\Gamma_0(N)$

Autor:	Zhu, Xiao-Jie
Rok vydání:	2024
Předmět:	Mathematics - Number Theory Primary 11F06 Secondary 11F20 22D10 20F05 20H10
Druh dokumentu:	Working Paper
Popis:	We give explicit formulae for a class of complex linear unitary characters of the congruence subgroups $\Gamma_0(N)$ which involve a variant of Rademacher's $\Psi$ function. We then prove that these characters cover all characters of $\Gamma_0(N)$ precisely when $N=1,2,3,4,5,6,7,8,10,12,13$. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2402.14796 Zobrazit plný text záznamu View this record from Arxiv