Congruences for Andrews-Beck partition statistics modulo powers of primes

DOI10.1016/j.aam.2023.102488OpenAlexW4320169689MaRDI QIDQ2689166

Renrong Mao

Publication date: 9 March 2023

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2023.102488

zbMATH Keywords

congruencesmodular formsrankHecke operatorsAndrews-Beck partition statistics

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37)

Cites Work

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• \(\ell \)-adic properties of smallest parts functions
• Variations of Andrews-Beck type congruences
• Proofs of some conjectures of Chan-Mao-Osburn on Beck's partition statistics
• On the total number of parts functions associated with ranks of partitions modulo 5 and 7
• Congruences for \(\overline{\operatorname{spt}}_\omega(n)\) modulo powers of primes
• On total number parts functions associated to ranks of overpartitions
• On modular forms of half integral weight
• Mock modular grids and Hecke relations for mock modular forms
• Weighted partition rank and crank moments. III. A list of Andrews–Beck type congruences modulo 5, 7, 11 and 13
• Modular Forms
• Some Properties of Partitions
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures

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