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A maple package for modular function and its application to partition functions
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Journal Article
A maple package for modular function and its application to partition functions
2025
Overview
A Maple package, which includes Radu’s algorithm and other algorithms of modular form tools, is provided. This enables us to prove or discover congruences for some restricted partition functions through building up Ramanujan-Kolberg identities, as well as perform many manipulations related to q-series and modular forms, such as dissection formulas and the Hecke operator. A pair of new partition congruences and their proof were found by this program as examples.
Publisher
IOP Publishing
