Parity of the partition function

DOI10.1016/j.aim.2010.02.023zbMath1234.11139OpenAlexW1975821147MaRDI QIDQ986081

Ken Ono

Publication date: 11 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.aim.2010.02.023

zbMATH Keywords

partitionsmock theta functionsGalois representationsparityharmonic Maass formsgeneralized Borcherds productslocally nilpotent Hecke algebras

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Forms of half-integer weight; nonholomorphic modular forms (11F37) Galois representations (11F80)

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Classical and Umbral Moonshine: Connections and $p$-adic Properties ⋮ Combinatorial applications of Möbius inversion ⋮ PARITY OF THE PARTITION FUNCTION AND TRACES OF SINGULAR MODULI ⋮ Variations on a result of Bressoud ⋮ Small values of coefficients of a half Lerch sum ⋮ Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions ⋮ On the density of the odd values of the partition function. II: An infinite conjectural framework ⋮ A mod \(\ell\) Atkin-Lehner theorem and applications ⋮ Parity of the coefficients of Klein’s $j$-function ⋮ On the number of odd values of the Klein \(j\)-function and the cubic partition function ⋮ On the density of the odd values of the partition function and the \(t\)-multipartition function ⋮ On the density of the odd values of the partition function ⋮ Parity of Schur's partition function

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