Lucas congruences using modular forms

被引：0

作者：

Beukers, Frits ^{[1
]}

Tsai, Wei-Lun ^{[2
]}

Ye, Dongxi ^{[3
]}

机构：

[1] Univ Utrecht, Utrecht, Netherlands

[2] Univ South Carolina, Dept Math, Columbia, SC USA

[3] Sun Yat sen Univ, Sch Math Zhuhai, Zhuhai 519082, Guangdong, Peoples R China

来源：

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2025年 / 57卷 / 01期

关键词：

D O I：

10.1112/blms.13182

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we prove that many Ap & eacute;ry-like sequences arising from modular forms satisfy the Lucas congruences modulo any prime. As an implication, we completely affirm four conjectural Lucas congruences that were recently posed by S. Cooper and reinterpret a number of known results.

引用

页码：69 / 78

页数：10

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