The partition function and Hecke operators

DOI10.1016/j.aim.2011.05.022zbMath1260.11061OpenAlexW2075608417MaRDI QIDQ635496

Ken Ono

Publication date: 19 August 2011

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

Full work available at URL: https://doi.org/10.1016/j.aim.2011.05.022

zbMATH Keywords

partitionsFaber polynomialsHecke operatorsMonster Lie algebra

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (4)

POWERS OF THE ETA-FUNCTION AND HECKE OPERATORS ⋮ Double coset operators and eta-quotients ⋮ HECKE-TYPE CONGRUENCES FOR ANDREWS' SPT-FUNCTION MODULO 16 AND 32 ⋮ Congruences for Andrews’ spt-Function Modulo 32760 and Extension of Atkin’s Hecke-Type Partition Congruences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Identities in combinatorics. III: Further aspects of ordered set sorting
• Distribution of the partition function modulo composite integers \(M\)
• Distribution of the partition function modulo \(m\)
• Extension of Ramanujan's congruences for the partition function modulo powers of 5
• Congruences of the Partition Function
• Congruences for the Coefficients of Modular forms and Some New Congruences for the Partition Function
• Periodicity Modulo m and Divisibility Properties of the Partition Function
• Multiplicative Congruence Properties and Density Problems for p(n)
• Congruence properties for the partition function
• Some Properties of p(n) and c(n) Modulo Powers of 13
• Proof of a conjecture of Ramanujan
• Congruence Properties and Density Problems for the Fourier Coefficients of Modular Forms.
• Ramanujans Vermutung über Zerfällungszahlen.
• Some Properties of Partitions
• New congruences for the partition function

This page was built for publication: The partition function and Hecke operators