Congruence modulo 4 for Andrews' even parts below odd parts partition function

DOI10.1007/s00026-023-00645-3zbMath1527.11031arXiv2110.12682MaRDI QIDQ6114967

Rong Chen, Dandan Chen

Publication date: 12 July 2023

Published in: Annals of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.12682

zbMATH Keywords

class numberternary quadratic formRamanujan-type congruences

Mathematics Subject Classification ID

General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Congruences for modular and (p)-adic modular forms (11F33) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (1)

Partition congruences and vanishing coefficients of products of theta functions

Cites Work

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• On the representation numbers of ternary quadratic forms and modular forms of weight \(3/2\)
• On Andrews' integer partitions with even parts below odd parts
• Representations of ternary quadratic forms and the class number of imaginary quadratic fields
• On the 2-part of the class number of imaginary quadratic number fields
• Integer partitions with even parts below odd parts and the mock theta functions
• On the Diophantine equation \(n^2 = x^2 +by^2 +cz^2\)
• Parity of coefficients of mock theta functions
• A proof of the mod 4 unimodal sequence conjectures and related mock theta functions
• CONGRUENCES MODULO 4 FOR WEIGHT ETA-PRODUCTS
• Essentially Unique Representations by Certain Ternary Quadratic Forms

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