Theta-type congruences for colored partitions

被引：0

作者：

Beckwith, O. ^{[1
]}

Caione, A. ^{[1
]}

Chen, Z. ^{[2
]}

Diluia, M. ^{[2
]}

Gonzalez, O. ^{[2
]}

Su, J. ^{[2
]}

机构：

[1] Tulane Univ, New Orleans, LA 70118 USA

[2] Univ Illinois, Champaign, IL USA

来源：

JOURNAL OF NUMBER THEORY | 2023年 / 253卷

基金：

美国国家科学基金会;

关键词：

Partitions; Modular forms; Ramanujan; Congruences; POWERS;

D O I：

10.1016/j.jnt.2023.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate congruence relations of the form pr(emn +t) & EQUIV; 0 (mod .@) for all n, where pr(n) is the number of r-colored partitions of n and m, .@ are distinct primes. & COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons .org /licenses /by -nc -nd /4 .0/).

引用

页码：317 / 336

页数：20

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