Partition identities arising from theta function identities

DOI10.1007/S10114-007-0960-6zbMath1154.11036OpenAlexW2043975534MaRDI QIDQ943535

Nayandeep Deka Baruah, Bruce C. Berndt

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-007-0960-6

zbMATH Keywords

partitionstheta function identitiesmodular equationscolored partitionspartition identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (11)

Some new identities for a continued fraction of Ramanujan ⋮ Some new identities for colored partition ⋮ Partition identities and Ramanujan's modular equations ⋮ Ramanujan's modular equations of degree 5 ⋮ Partition identities arising from Ramanujan's formulas for multipliers ⋮ Theta function identities associated with Ramanujan's modular equations of degree 15 ⋮ Identities for partitions with distinct colors ⋮ Color partition identities arising from Ramanujan's theta-functions ⋮ Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations ⋮ Distribution of a certain partition function modulo powers of primes ⋮ A note on certain modular equations about infinite products of Ramanujan

Cites Work

• Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Rama\-nujan
• Partition identities and Ramanujan's modular equations
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