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.
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页码：591 / 613
页数：23
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