Old meets new: connecting two infinite families of congruences modulo powers of 5 for generalized Frobenius partition functions

DOI10.1016/j.aim.2024.109866MaRDI QIDQ6592057

Nicolas Allen Smoot, Frank G. Garvan, James A. Sellers

Publication date: 24 August 2024

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

zbMATH Keywords

modular functionsmodular curvepartition congruencesFrobenius partitionsinfinite congruence family

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Cites Work

• Unnamed Item
• The Andrews-Sellers family of partition congruences
• An algorithmic approach to Ramanujan-Kolberg identities
• Partitions weighted by the parity of the crank
• Limits of areas under lattice paths
• Integer partitions with even parts below odd parts and the mock theta functions
• 1-shell totally symmetric plane partitions (TSPPs) modulo powers of 5
• A congruence family for 2-elongated plane partitions: an application of the localization method
• On the computation of identities relating partition numbers in arithmetic progressions with eta quotients: an implementation of Radu's algorithm
• A proof of the Weierstraß gap theorem not using the Riemann-Roch formula
• Ramanujans Vermutung über Zerfällungsanzahlen.
• Generalized Frobenius partitions, Motzkin paths, and Jacobi forms
• Generalized Frobenius partitions
• ARITHMETIC PROPERTIES OF 1-SHELL TOTALLY SYMMETRIC PLANE PARTITIONS
• Proof of a conjecture of Ramanujan
• Some properties of \(p(n),\) the number of partitions of \(n\).
• A single-variable proof of the omega SPT congruence family over powers of 5

This page was built for publication: Old meets new: connecting two infinite families of congruences modulo powers of 5 for generalized Frobenius partition functions