Determining universality of m-gonal forms with first five coefficients

Dayoon Park
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Abstract

We classify the \((a_1,a_2,a_3,a_4,a_5)\) for which the universality of an m-gonal form \(F_m({\textbf{x}})\) whose first five coefficients are \((a_1,a_2,a_3,a_4,a_5)\) is characterized as the representabilitiy of positive integers up to \(m-4\) and discuss some applications.

确定具有前五个系数的 monal 形式的普遍性
我们将前五个系数为 \((a_1,a_2,a_3,a_4,a_5)\)的 m-gonal form \(F_m({\textbf{x}})\)的普遍性归类为 \((a_1,a_2,a_3,a_4,a_5)\),并讨论了一些应用。
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