Representations by sexternary quadratic forms with coefficients 1,2,5 and 10

Bülent Köklüce

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arXiv · 2207.05638

Representations by sexternary quadratic forms with coefficients 1,2,5 and 10

Bülent Köklüce

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Abstract

In this article, we find bases for the spaces of modular forms $M_{3}(\Gamma _{0}(40),\left( \frac{d}{\cdot }\right) )$ for $d=-4,-8,-20\text{ and }-40.$ We then derive formulas for the number of representations of a positive integer by all the diagonal sextenary quadratic forms with coefficients $% 1,2,5$ and $10$.

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Bülent Köklüce. 2022-07-12. Representations by sexternary quadratic forms with coefficients 1,2,5 and 10. https://arxiv.org/abs/2207.05638

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