Partition identities and congruences associated with the Fourier coefficients of the Euler products.

DOI10.1016/S0377-0427(03)00618-6zbMath1039.11067MaRDI QIDQ1414327

Heng Huat Chan, Richard P. Lewis

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

partition identitiesRamanujan identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Elementary theory of partitions (11P81)

Related Items (7)

TWO IDENTITIES INVOLVING THE CUBIC PARTITION FUNCTION ⋮ Ramanujan-type congruences for certain generating functions ⋮ CONGRUENCES MODULO 5 AND 7 FOR 4-COLORED GENERALIZED FROBENIUS PARTITIONS ⋮ Modular forms and $k$-colored generalized Frobenius partitions ⋮ New analogues of Ramanujan's partition identities ⋮ On the density of the odd values of the partition function ⋮ Some congruences for Andrews-Paule's broken 2-diamond partitions

Cites Work

• The automorphism group of Leech lattice and elliptic modular functions
• Some Theorems About p_r(n)
• Some Properties of p(n) and c(n) Modulo Powers of 13
• Construction and Application of a Class of Modular Functions (II)†
• An elementary proof of p(11m+6)≡0 (mod 11)
• Congruences for p r (n) and Ramanujan's τ Function
• Ramanujan Identities Involving the Partition Function for the Moduli 11 a

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