arXiv Analytics

Sign in

arXiv:1607.03809 [math.NT]AbstractReferencesReviewsResources

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

B. Ramakrishnan, Brundaban Sahu, Anup Kumar Singh

Published 2016-07-13Version 1

In this paper, we find formulas for the number of representations of certain diagonal octonary quadratic forms with coefficients $1,2,3,4$ and $6$. We obtain these formulas by constructing explicit bases of the space of modular forms of weight $4$ on $\Gamma_0(48)$ with character.

Comments: 38 pages, 10 Tables
Categories: math.NT
Subjects: 11A25, 11E25, 11E20, 11F11
Related articles: Most relevant | Search more
arXiv:1603.07780 [math.NT] (Published 2016-03-24)
Representations by octonary quadratic forms with coefficients $1$, $2$, $3$ or $6$
arXiv:1705.01244 [math.NT] (Published 2017-05-03)
Representations by sextenary quadratic forms with coefficients $1,2,3$ and $6$ and on newforms in $S_{3} (Γ_0 (24), χ)$
arXiv:1607.03196 [math.NT] (Published 2016-07-11)
Representations by Quaternary Quadratic Forms with Coefficients $1$, $2$, $5$ or $10$

Links

Toolbox