\(\ell\)-adic properties of the partition function. Appendix A by Nick Ramsey

DOI10.1016/j.aim.2011.11.013zbMath1247.11131OpenAlexW2049683464WikidataQ29999014 ScholiaQ29999014MaRDI QIDQ664751

Ken Ono, Zachary A. Kent, Amanda Folsom

Publication date: 2 March 2012

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

Full work available at URL: https://doi.org/10.1016/j.aim.2011.11.013

zbMATH Keywords

partitionscongruencesp-adic modular formsAtkineigenforms

Mathematics Subject Classification ID

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

Related Items (13)

The partition function modulo 3 in arithmetic progressions ⋮ Congruences involving arithmetic progressions for weakly holomorphic modular forms ⋮ \(\ell\)-adic properties of partition functions ⋮ Parity of the coefficients of certain eta-quotients ⋮ On the action of the \(U_p\) operator on the local (at \(p\)) representation attached to congruence level Siegel modular forms ⋮ Extension of a proof of the Ramanujan congruences for multipartitions ⋮ Mock theta functions and weakly holomorphic modular forms modulo 2 and 3 ⋮ \(\ell \)-adic properties of smallest parts functions ⋮ Congruences modulo powers of 5 for \(k\)-colored partitions ⋮ Congruences of multipartition functions modulo powers of primes ⋮ On the number of conjugate classes of derangements ⋮ Congruence properties of pk(n) ⋮ The partition function modulo prime powers

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