Proves congruences for cφ6(n) modulo 3^k by adapting Banerjee-Smoot methods to resolve a revised Gu-Wang-Xia conjecture.
A tutorial for the MAPLE ETA package
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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.
fields
math.CO 2years
2025 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
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Congruences modulo powers of $3$ for $6$-colored generalized Frobenius partitions
Proves congruences for cφ6(n) modulo 3^k by adapting Banerjee-Smoot methods to resolve a revised Gu-Wang-Xia conjecture.
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Congruences modulo powers of $3$ for generalized Frobenius partitions $C\Psi_{6,0}$
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.