IDENTITIES FOR SELF-CONJUGATE 7- AND 9-CORE PARTITIONS

DOI10.1142/S1793042112500376zbMath1247.05020OpenAlexW2031414256MaRDI QIDQ2880329

Nayandeep Deka Baruah, Bipul Kumar Sarmah

Publication date: 13 April 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042112500376

zbMATH Keywords

Ramanujan's theta functiondouble distinct partitionsself-conjugate \(t\)-core partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Representations of finite symmetric groups (20C30) Theta series; Weil representation; theta correspondences (11F27) Analytic theory of partitions (11P82)

Related Items (5)

New congruences for \(k\)-tuples \(t\)-core partitions ⋮ Infinite families of arithmetic identities for self-conjugate 5-cores and 7-cores ⋮ Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores ⋮ On the parity of broken \(k\)-diamond partitions ⋮ INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR DOUBLED DISTINCT t-CORES FOR t = 3, 4, …, 10

Cites Work

• On inequalities and linear relations for 7-core partitions
• Self-conjugate \(t\)-core partitions, sums of squares, and \(p\)-blocks of \(A_n\)
• New identities for 7-cores with prescribed BG-rank
• Cranks and t-cores
• Partition identities and Ramanujan's modular equations
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• Defect zero blocks for finite simple groups

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