CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS-Reference-Cited by-同舟云学术

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CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS

Published:2020-10-05 Issue:3 Volume:103 Page:405-417
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

CHEN RONG^ORCID,GARVAN F. G.^ORCID

Abstract

AbstractWe find and prove a class of congruences modulo 4 for eta-products associated with certain ternary quadratic forms. This study was inspired by similar conjectured congruences modulo 4 for certain mock theta functions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

1. Unimodal sequences and quantum and mock modular forms

2. On the Diophantine equationn2=x2+by2+cz2

3. Representations of ternary quadratic forms and the class number of imaginary quadratic fields

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Congruence Modulo 4 for Andrews’ Even Parts Below Odd Parts Partition Function;Annals of Combinatorics;2023-03-29

2. A proof of the mod 4 unimodal sequence conjectures and related mock theta functions;Advances in Mathematics;2022-03

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