Modular forms whose coefficients possess multiplicative properties

DOI10.2307/1970326zbMath0090.05502OpenAlexW4247565950MaRDI QIDQ771523

Morris Newman

Publication date: 1959

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970326

zbMATH Keywords

modular forms

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11)

Related Items (14)

More infinite families of congruences modulo 5 for broken 2-diamond partitions ⋮ Eta-products which are simultaneous eigenforms of Hecke operators ⋮ Arithmetic properties for \((s,t)\)-regular bipartition functions ⋮ Arithmetic properties of a partition pair function ⋮ Newman's identity and infinite families of congruences modulo 7 for broken 3-diamond partitions ⋮ Infinite families of strange partition congruences for broken 2-diamonds ⋮ Applications of the theory of modular forms to number theory ⋮ Congruences modulo 5 for the number of spin characters of the double covers of the symmetric and alternating groups ⋮ Ramanujan-type congruences modulo 8 for 7- and 23-core partition functions ⋮ Congruences modulo 9 for bipartitions with designated summands ⋮ Parity results for broken 11-diamond partitions ⋮ Arithmetic properties of partitions with designated summands ⋮ EULER PRODUCTS IN RAMANUJAN'S LOST NOTEBOOK ⋮ Infinite families of congruences modulo 5 and 7 for the cubic partition function

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