Analogues of the Ramanujan-Mordell theorem
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Publication:321807
DOI10.1016/j.jmaa.2016.09.004zbMath1409.11029arXiv1605.06631OpenAlexW2962701285MaRDI QIDQ321807
Ben Kane, Shaun Cooper, Dongxi Ye
Publication date: 14 October 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.06631
Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Partition identities; identities of Rogers-Ramanujan type (11P84)
Related Items (8)
Representations of integers by certain \(2k\)-ary quadratic forms ⋮ Extensions of Ramanujan-Mordell formula with coefficients 1 and \(p\) ⋮ Sums of triangular numbers and sums of squares ⋮ New and simple proofs of Ramanujan’s modular equations of degree 11 ⋮ On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6 ⋮ Ramanujan-Mordell type formulas associated to certain quadratic forms of discriminant \(20^k\) or \(32^k\) ⋮ On Eisenstein series in \(M_{2k}(\Gamma_{0}(N))\) and their applications ⋮ Projections of modular forms on Eisenstein series and its application to Siegel's formula
Cites Work
- Powers of theta functions
- 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
- Three classical results on representations of a number
- The number of representations of a positive integer by certain octonary quadratic forms
- Level 14 and 15 analogues of Ramanujan’s elliptic functions to alternative bases
- CONSTRUCTION OF EISENSTEIN SERIES FOR Γ0(p)
- Representations of certain binary quadratic forms as a sum of Lambert series and eta-quotients
- Nineteen quaternary quadratic forms
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