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
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Publication:1019836
DOI10.1016/j.jnt.2008.09.001zbMath1162.05005arXiv0804.2038OpenAlexW2963768447MaRDI QIDQ1019836
Hamza Yesilyurt, Alexander Berkovich
Publication date: 28 May 2009
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.2038
Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Analytic theory of partitions (11P82) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (7)
Analogues of the Ramanujan-Mordell theorem ⋮ Infinite families of arithmetic identities for self-conjugate 5-cores and 7-cores ⋮ Representations by sextenary quadratic forms with coefficients 1, 2, 3 and 6 and on newforms in \(S_3(\Gamma_{0}(24),\chi)\) ⋮ Explicit bounds for the number of 𝑝-core partitions ⋮ On inequalities and linear relations for 7-core partitions ⋮ Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms ⋮ INFINITE FAMILIES OF ARITHMETIC IDENTITIES FOR DOUBLED DISTINCT t-CORES FOR t = 3, 4, …, 10
Cites Work
- Modular forms and representations of symmetric groups
- New proofs of Ramanujan's partition identities for moduli 5 and 7
- On the equivalence of Ramanujan's partition identities and a connection with the Rogers-Ramanujan continued fraction
- The BG-rank of a partition and its applications
- New identities for 7-cores with prescribed BG-rank
- Cranks and t-cores
- Defect zero blocks for finite simple groups
- On the Andrews-Stanley refinement of Ramanujan’s partition congruence modulo 5 and generalizations
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