Document Type

Article

Publication Date

1-16-2021

Abstract

Congruences and related identities are derived for a set of colored and weighted partition functions whose generating functions generate the graded algebra of integer weight modular forms of level seven. The work determines a general strategy for identifying and proving identities and associated congruences for modular forms on the principal congruence subgroup of level 7. Ramanujan's partition congruence modulo 7 serves as a prototype for the process used to prove new congruences for modular forms of level 7.

Comments

Electronic version of an article published as International Journal of Number Theory 2021, doi.org/10.1142/S179304212040031X © World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijnt

Publication Title

International Journal of Number Theory

DOI

10.1142/S179304212040031X

Available for download on Sunday, January 16, 2022

Included in

Mathematics Commons

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