Proof of some conjectures of Melham using Ramanujan's \(_1 \psi_1\) formula

DOI10.1155/2014/738948zbMath1486.11055OpenAlexW2017266024WikidataQ59044306 ScholiaQ59044306MaRDI QIDQ2330254

Bipul Kumar Sarmah

Publication date: 28 October 2019

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/738948

zbMATH Keywords

polygonal numbersRamanujan's \(_1 \psi_1\) formula

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Representation problems (11D85)

Related Items (1)

The number of representations of a positive integer by triangular, square, and decagonal numbers

Cites Work

• The number of representations of a number by various forms
• Analogues of Jacobi's Two-Square Theorem: An Informal Account
• ON REPRESENTATIONS BY FIGURATE NUMBERS: A UNIFORM APPROACH TO THE CONJECTURES OF MELHAM
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