ON THE PARITY OF PARTITION FUNCTIONS

DOI10.1142/S0129167X03001740zbMath1047.11098MaRDI QIDQ4474427

Alexandru Zaharescu, Ae Ja Yee, Bruce C. Berndt

Publication date: 12 July 2004

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

generating functionspartition functionsformal power seriesparity problems

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82)

Related Items (12)

On the parity of the number of (a,b,m)-copartitions of n ⋮ Small values of coefficients of a half Lerch sum ⋮ A new lower bound on the number of odd values of the ordinary partition function ⋮ Parity of coefficients of mock theta functions ⋮ On the parity of broken \(k\)-diamond partitions ⋮ On the number of odd values of the Klein \(j\)-function and the cubic partition function ⋮ A REMARK ON PRIME DIVISORS OF PARTITION FUNCTIONS ⋮ Parity of the partition function ⋮ On the density of the odd values of the partition function and the \(t\)-multipartition function ⋮ VALEURS IMPAIRES DE LA FONCTION DE PARTITION p(n) ⋮ RECIPROCALS OF BINARY POWER SERIES ⋮ Odd values of partition functions related to binary quadratic forms

Cites Work

• Unnamed Item
• Distribution of parity of the partition function in arithmetic progressions
• The distribution of values of the partition function in residue classes
• The partition function in arithmetic progressions
• On the parity of additive representation functions
• Note on the Parity of the Partition Functions.
• SOME IDENTITIES IN COMBINATORIAL ANALYSIS
• Some Remarks on the Partition Function

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