INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR DOUBLED DISTINCT t-CORES FOR t = 3, 4, …, 10
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Publication:5746418
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
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)
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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