The arithmetic of partitions into distinct parts

DOI10.1112/S0025579300014443zbMath1040.11073OpenAlexW2131715004MaRDI QIDQ4435539

Jeremy Lovejoy, Scott Ahlgren

Publication date: 16 November 2003

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/s0025579300014443

zbMATH Keywords

modular formsdensity results

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Holomorphic modular forms of integral weight (11F11) Analytic theory of partitions (11P82)

Related Items (22)

Congruences for (3,11)-regular bipartitions modulo 11 ⋮ An infinite family of congruences modulo 3 for 13-regular bipartitions ⋮ Counting corners in partitions ⋮ Unnamed Item ⋮ GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES ⋮ Congruences for some \(l\)-regular partitions modulo \(l\) ⋮ Congruences for \(\ell\)-regular partitions and bipartitions ⋮ -REGULAR PARTITIONS AND MODULAR FORMS WITH COMPLEX MULTIPLICATION ⋮ 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 \(\ell \) ⋮ Parity results for 9-regular partitions ⋮ Congruences for \(\ell\)-regular partition functions modulo 3 ⋮ Arithmetic of the 7-regular bipartition function modulo 3 ⋮ Congruences for 5-regular partitions modulo powers of 5 ⋮ Arithmetic properties of 7-regular partitions ⋮ Arithmetic of the 13-regular partition function modulo 3 ⋮ ARITHMETIC OF ℓ-REGULAR PARTITION FUNCTIONS ⋮ On the distribution of odd values of \(2^a\)-regular partition functions ⋮ THE 7-REGULAR AND 13-REGULAR PARTITION FUNCTIONS MODULO 3 ⋮ 11-Regular partitions and a Hecke eigenform ⋮ On 3-divisibility of 9- and 27-regular partitions

Cites Work

• Unnamed Item
• Divisibility of certain partition functions by powers of primes
• Distribution of the partition function modulo composite integers \(M\)
• The 2-adic behavior of the number of partitions into distinct parts
• Some spherical uniqueness theorems for multiple trigonometric series
• Divisibility and distribution of partitions into distinct parts

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