On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6

DOI10.1142/S1793042118500483zbMath1429.11011arXiv1607.03809OpenAlexW2964004311MaRDI QIDQ4609574

B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh

Publication date: 4 April 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.03809

zbMATH Keywords

octonary quadratic formsrepresentation numbers of quadratic formsmodular forms of one variable

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) Holomorphic modular forms of integral weight (11F11) Arithmetic functions; related numbers; inversion formulas (11A25)

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A simple extension of Ramanujan-Serre derivative map and some applications ⋮ Representations of squares by certain diagonal quadratic forms in an odd number of variables ⋮ Representations by certain octonary quadratic forms with coefficients 1, 2, 5 and 10 ⋮ Representations of an Integer by Some Quaternary and Octonary Quadratic Forms

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