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

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

Abstract

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.