Ramanujan congruences for overpartitions with restricted odd differences

DOI10.1007/s40993-022-00422-wOpenAlexW4312106071MaRDI QIDQ2679121

Jeremiah Smith, Michael Hanson

Publication date: 19 January 2023

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02444

zbMATH Keywords

partitionsmodular formintegerRamanujan congruences

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Congruences for modular and (p)-adic modular forms (11F33)

Uses Software

• eta-quotients

Cites Work

• Congruences like Ramanujan's for powers of the partition function
• Arithmetic properties of the partition function
• A tameness criterion for Galois representations associated to modular forms (mod \(p\))
• Congruences for Frobenius partitions
• Congruences for two restricted overpartitions
• Overpartitions with restricted odd differences
• Non-Existence of Ramanujan Congruences in Modular Forms of Level Four
• INFINITE FAMILIES OF CONGRUENCES FOR OVERPARTITIONS WITH RESTRICTED ODD DIFFERENCES
• RAMANUJAN CONGRUENCES FOR A CLASS OF ETA QUOTIENTS
• Congruences satisfied by eta-quotients
• Congruences for overpartitions with restricted odd differences
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