论文标题
具有系数1,2,5和10的性二次形式的表示形式
Representations by sexternary quadratic forms with coefficients 1,2,5 and 10
论文作者
论文摘要
在本文中，我们找到了模块化形式空间的基础$ m_ {3}（γ_{0}（40），\ left（\ frac {d} {d} {\ cdot} \ right））$ for $ d = -4，8，-8，-8，-20 \ text {and} -40。系数的六二次形式$％1,2,5 $和$ 10 $。
In this article, we find bases for the spaces of modular forms $M_{3}(Γ_{0}(40),\left( \frac{d}{\cdot }\right) )$ 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 $10$.
