Sums of triangular numbers and sums of squares

DOI10.1016/j.jmaa.2022.126580zbMath1506.11055arXiv2107.00787OpenAlexW3178335194MaRDI QIDQ2674317

Zafer Selcuk Aygin, Amir Akbary

Publication date: 23 September 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00787

zbMATH Keywords

Eisenstein seriesmodular formssquareseta quotientstriangular numbers

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Holomorphic modular forms of integral weight (11F11)

Cites Work

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• Some new old-fashioned modular identities
• Relations between squares and triangles
• Extensions of Ramanujan-Mordell formula with coefficients 1 and \(p\)
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• Proofs of some conjectures of Z.-H. Sun on relations between sums of squares and sums of triangular numbers
• Projections of modular forms on Eisenstein series and its application to Siegel's formula
• Some relations between $t(a,b,c,d;n)$ and $N(a,b,c,d;n)$
• Ramanujan's Theta Functions
• Eta Products and Theta Series Identities
• SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS INDUCED BY PARTITIONS OF 8
• Estimation de la fonction de Tchebychef θ sur le k-ième nombre premier et grandes valeurs de la fonction ω(n) nombre de diviseurs premiers de n
• Modular Forms
• A GENERAL RELATION BETWEEN SUMS OF SQUARES AND SUMS OF TRIANGULAR NUMBERS

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