Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers

DOI10.1007/S13226-020-0382-ZzbMath1477.11064OpenAlexW3012316013WikidataQ113899332 ScholiaQ113899332MaRDI QIDQ1985912

Nayandeep Deka Baruah, Byeong-Kweon Oh, Mandeep Kaur, Min-Gyu Kim

Publication date: 7 April 2020

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-020-0382-z

zbMATH Keywords

sum of squaresRamanujan's theta functionsum of triangular numbersrepresentation of quaternary quadratic forms

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Theta series; Weil representation; theta correspondences (11F27) Other functions defined by series and integrals (33E20) Representation problems (11D85)

Related Items (6)

On conjectures of Z.-H. Sun ⋮ Proofs of some conjectures of Sun on the relations between \(T(a, b, c, d; n)\) and \(N(a, b, c, d; n)\) ⋮ Sums of triangular numbers and sums of squares ⋮ Automatic proofs of some conjectures of Sun on the relations between sums of squares and sums of triangular numbers ⋮ Proofs of some conjectures of Sun on the relations between \(t(a, b, c; n)\) and \(N(a, b, c; n)\) ⋮ Relations among representations of integers by certain quadratic forms

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