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arxiv: 1907.09130 · v1 · pith:SPBVQJE3new · submitted 2019-07-10 · 🧮 math.CO · math.NT

A tutorial for the MAPLE ETA package

classification 🧮 math.CO math.NT
keywords packagemapletutorialcalculatingdedekinddesignedeta-productformula
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This is a tutorial for using ETA, a MAPLE package for calculating with Dedekind's eta function. The ETA package is designed for proving eta-product identities using the valence formula for modular functions.

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  1. Congruences modulo powers of $3$ for generalized Frobenius partitions $C\Psi_{6,0}$

    math.CO 2025-10 unverdicted novelty 5.0

    Proves congruences modulo powers of 3 for cψ_{6,0}(n) by connecting its generating function to cψ_{6,3}(n) via an Atkin-Lehner involution.