Congruence modulo 4 for Andrews' integer partition with even parts below odd parts

Dandan Chen; Rong Chen

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arXiv · 2110.12682

Congruence modulo 4 for Andrews' integer partition with even parts below odd parts

Dandan Chen·Rong Chen

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Abstract

We find and prove a class of congruences modulo 4 for Andrews' partition with certain ternary quadratic form. We also discuss distribution of $\overline{\mathcal{EO}}(n)$ and further prove that $\overline{\mathcal{EO}}(n)\equiv0\pmod4$ for almost all $n$. This study was inspired by similar congruences modulo 4 in the work by the second author and Garvan.

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BibTeX RIS

Dandan Chen, Rong Chen. 2021-10-25. Congruence modulo 4 for Andrews' integer partition with even parts below odd parts. https://arxiv.org/abs/2110.12682

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