THE NUMBER OF PARTITIONS INTO DISTINCT PARTS MODULO POWERS OF 5
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Publication:4418893
DOI10.1112/S0024609302001492zbMath1102.11056MaRDI QIDQ4418893
Publication date: 2003
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
Partitions; congruences and congruential restrictions (11P83) Fourier coefficients of automorphic forms (11F30) Hecke-Petersson operators, differential operators (one variable) (11F25)
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Exact generating functions for the number of partitions into distinct parts ⋮ Congruences for (3,11)-regular bipartitions modulo 11 ⋮ An infinite family of congruences modulo 3 for 13-regular bipartitions ⋮ GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES ⋮ Arithmetic properties of \(\ell\)-regular partitions ⋮ Congruences for \(\ell\)-regular partitions and bipartitions ⋮ Congruences modulo powers of 5 for two restricted bipartitions ⋮ Parity results for 13-regular partitions and broken 6-diamond partitions ⋮ On \(\ell \)-regular bipartitions modulo \(\ell \) ⋮ Arithmetic of the 7-regular bipartition function modulo 3 ⋮ Congruences for 5-regular partitions modulo powers of 5 ⋮ Congruences for 9-regular partitions modulo 3 ⋮ Arithmetic properties of 7-regular partitions ⋮ Number theoretic properties of generating functions related to Dyson’s rank for partitions into distinct parts ⋮ Partitions into distinct parts modulo powers of 5 ⋮ Congruences modulo powers of 11 for some partition functions ⋮ ARITHMETIC PROPERTIES OF -REGULAR BIPARTITIONS
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