Ramanujan—Mordell Type Formulas Associated to Certain Quadratic Forms of Discriminant 20k or 32k

Anup Kumar Singh () and Dongxi Ye ()
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Anup Kumar Singh: Indian Institute of Science Education and Research Berhampur
Dongxi Ye: Sun Yat-sen University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 1083-1096

Abstract: Abstract In this work, we establish Ramanujan–Mordell type formulas associated to certain quadratic forms of discriminants 20k or 32k. In the end, a remark is given to illustrate potential extensions to other related cases.

Keywords: Eta functions; modular forms; quadratic forms; representations of integers; sums of squares; theta functions; 11F11; 11F20; 11F30; 11E25 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0451-3

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