泛型m$ m$角形的有限定理

IF 0.8 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-01-02 DOI:10.1112/blms.13217

Byeong Moon Kim, Dayoon Park

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引用次数: 0

摘要

本文研究了全称m$ m$ -多边形形式。更准确地说，我们研究了有限集{1,2，…，γ m} $\lbrace 1,2,\ldots，\gamma _m\rbrace$ （γ m$ \gamma _m$随着m$ m$的增加而渐近增加）表征了m$ m$多边形形式的通用性。

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A finiteness theorem for universal

m
$m$
-gonal forms

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A finiteness theorem for universal m $m$ -gonal forms

In this paper, we study the universal $m$ -gonal forms. More precisely, we study the growth of the size of the finite set ${1, 2, …, γ_{m}}$ ( $γ_{m}$ asymptotically increases as $m$ increases) which characterize the universality of $m$ -gonal forms.