Some results on $3$-cores
From MaRDI portal
Publication:5398119
DOI10.1090/S0002-9939-2013-11784-3zbMath1292.11117OpenAlexW2078857394MaRDI QIDQ5398119
Kallol Nath, Nayandeep Deka Baruah
Publication date: 26 February 2014
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-2013-11784-3
Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Theta series; Weil representation; theta correspondences (11F27)
Related Items
New congruences for \(k\)-tuples \(t\)-core partitions, GENERALISATION OF KEITH’S CONJECTURE ON 9-REGULAR PARTITIONS AND 3-CORES, Formulas for cubic partition with 3-cores, Analogues of Ramanujan's partition identities, New congruences for \(t\)-core partitions and Andrews' singular overpartitions, Infinite families of arithmetic identities for self-conjugate 5-cores and 7-cores, Generalized Frobenius partitions with 6 colors, Matching coefficients in the series expansions of certain \(q\)-products and their reciprocals, Explicit formulas for partition pairs and triples with 3-cores, Arithmetic density and new congruences for \(3\)-core partitions, Arithmetic properties of $\ell$-regular overpartition pairs, Elementary proofs of two theta function identities of Ramanujan and corresponding Lambert series identities, Colored partition identities conjectured by Sandon and Zanello, A crank-based approach to the theory of 3-core partitions, Infinite families of arithmetic identities and congruences for bipartitions with 3-cores, Congruences modulo \(p^2\) and \(p^3\) for \(k\) dots bracelet partitions with \(k = m p^s\), INFINITE FAMILIES OF CONGRUENCES MODULO 3 AND 9 FOR BIPARTITIONS WITH 3-CORES, Some results on bipartitions with 3-core, Unnamed Item, Formulas for partition \(k\)-tuples with \(t\)-cores, Self-conjugate partitions with the same disparity, A bijection between ordinary partitions and self-conjugate partitions with same disparity, Borweins' cubic theta functions revisited, Congruences modulo powers of 11 for some partition functions
Cites Work
- Unnamed Item
- Unnamed Item
- Uniform proofs of \(q\)-series-product identities
- Some new proofs of modular relations for the Göllnitz-Gordon functions
- Cranks and t-cores
- Partition identities and Ramanujan's modular equations
- Partial Fractions and Four Classical Theorems of Number Theory
- COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES
- ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES
- Defect zero blocks for finite simple groups