Distribution of powers of the partition function modulo \(\ell ^j\)

DOI10.1016/j.jnt.2008.12.007zbMath1236.11043OpenAlexW2152695065MaRDI QIDQ838461

Jim L. Brown, Ying-kun Li

Publication date: 26 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2008.12.007

zbMATH Keywords

partitionsmodular formsNewman's conjecture

Mathematics Subject Classification ID

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

Related Items

Some congruences for 3-component multipartitions ⋮ Congruences of multipartition functions modulo powers of primes

Cites Work

• The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits
• Coefficients of half-integral weight modular forms modulo \(\ell^{ j }\)
• Congruences like Ramanujan's for powers of the partition function
• Arithmetic properties of the partition function
• Distribution of the partition function modulo composite integers \(M\)
• Coefficients of half-integral weight modular forms.
• Periodicity Modulo m and Divisibility Properties of the Partition Function
• Congruence properties for the partition function
• Exceptional congruences for powers of the partition function
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