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Determining universality of $m$-gonal form with first five coefficients

Research paper by Dayoon Park

Indexed on: 01 Jan '21Published on: 30 Dec '20Published in: arXiv - Mathematics - Number Theory



Abstract

In this paper, we classify the $(a_1,a_2,a_3,a_4,a_5)$ for which the universality of an $m$-gonal form $F_m(\mathbf x)$ having its first five coefficients as $(a_1,a_2,a_3,a_4,a_5)$ is characterized as the representability of positive integers up to $m-4$ and see its applications.