The theta cycles for modular forms modulo prime powers

被引：0

作者：

Kim, Jigu ^{[1
]}

Lee, Yoonjin ^{[2
]}

机构：

[1] Yonsei Univ, Dept Math, 50 Yonsei Ro, Seoul 03722, South Korea

[2] Ewha Womans Univ, Dept Math, 52 Ewhayeodae Gil, Seoul 03760, South Korea

来源：

FORUM MATHEMATICUM | 2023年 / 35卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Reduction of modular forms modulo prime powers; theta cycles; REPRESENTATIONS; CONGRUENCES; OPERATOR;

D O I：

10.1515/forum-2021-0284

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, Chen and Kiming studied the theta operator on modular forms modulo prime powers p(m), where p = 5 and m = 2. In this paper, we study mod pm filtrations and mod p(m) theta cycles. We give a bound on some elements in the mod pm theta cycle (m = 2), and we exactly compute those values in the case that m = 2.

引用

页码：591 / 613

页数：23

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