INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR DOUBLED DISTINCT t-CORES FOR t = 3, 4, …, 10

DOI10.1142/S1793042113500826zbMath1294.11181OpenAlexW2134605930MaRDI QIDQ5746418

Kallol Nath, Nayandeep Deka Baruah

Publication date: 18 February 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042113500826

zbMATH Keywords

partitiontheta function\(t\)-coredoubled distinct \(t\)-coreself-conjugate \(t\)-core

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (1)

Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores

Cites Work

• On inequalities and linear relations for 7-core partitions
• On the representations of integers by the sextenary quadratic form \(x^2+y^2+z^2+7s^2+7t^2+7u^2\) and 7-cores
• On representations of a number as a sum of three squares
• Some amazing facts about \(4\)-cores
• 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
• IDENTITIES FOR SELF-CONJUGATE 7- AND 9-CORE PARTITIONS
• SOME CONGRUENCES DEDUCIBLE FROM RAMANUJAN'S CUBIC CONTINUED FRACTION
• ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
• Defect zero blocks for finite simple groups
• INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR 4-CORES

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