Explicit families of congruences for the overpartition function

DOI10.1007/S11139-024-00953-ZMaRDI QIDQ6645967

Jean Carlos Villegas-Morales, Qi-Yang Zheng, Nathan Ryan, Nicolás Sirolli

Publication date: 29 November 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

congruencesoverpartitionsEisenstein series of half-integral weight

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Ramanujan-type congruences for overpartitions modulo 5
• Congruences modulo 9 and 27 for overpartitions
• On Eisenstein series of half-integral weight
• Distribution of the partition function modulo \(m\)
• Quadratic Forms and Four Partition Functions Modulo 3
• Overpartitions
• Congruence properties for the partition function
• Congruences satisfied by eta-quotients
• Efficient implementation of the Hardy–Ramanujan–Rademacher formula
• Arithmetic Properties of Generalized Bernoulli Numbers.
• CONGRUENCES FOR THE COEFFICIENTS OF WEAKLY HOLOMORPHIC MODULAR FORMS
• New congruences for the partition function
• Some properties of \(p(n),\) the number of partitions of \(n\).
• Efficient computation of the overpartition function and applications

This page was built for publication: Explicit families of congruences for the overpartition function

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6645967)