Color partition identities arising from Ramanujan's theta-functions

DOI10.1007/s40306-016-0170-3zbMath1402.11128OpenAlexW2339721269MaRDI QIDQ505584

H. S. Sumanth Bharadwaj, B. Hemanthkumar, Megadahalli S. Mahadeva Naika

Publication date: 26 January 2017

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: http://eprints-bangaloreuniversity.in/7650/1/art%253A10.1007%252Fs40306-016-0170-3.pdf

zbMATH Keywords

modular equationspartition congruencestheta-functionscolor partition identities

Mathematics Subject Classification ID

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

Related Items (15)

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Cites Work

• Analogues of Ramanujan's partition identities
• Colored partition identities conjectured by Sandon and Zanello
• Analogues of Ramanujan's partition identities and congruences arising from his theta functions and modular equations
• Identities for partitions with distinct colors
• Partition identities arising from theta function identities
• Bijective proofs of partition identities arising from modular equations
• Warnaar's bijection and colored partition identities. I.
• A generalization of the Farkas and Kra partition theorem for modulus 7
• Partition-theoretic interpretations of certain modular equations of Schröter, Russell, and Rama\-nujan
• Warnaar's bijection and colored partition identities. II
• Partition identities and Ramanujan's modular equations
• PROOFS OF CONJECTURES OF SANDON AND ZANELLO ON COLORED PARTITION IDENTITIES
• Ramanujan's Notebooks
• THE CASE OF THE MYSTERIOUS SEVENS
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• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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