Conjectures of Sun about sums of polygonal numbers

Abstract

In this paper, we show that certain sums of generalized $m$-gonal numbers represent every positive integer if and only if they represent every positive integer up to an explicit bound $C_m$, verifying a conjecture of Sun for sufficiently large positive integers.

References in corpus (1)

• The pentagonal theorem of sixty-three and generalizations of Cauchy's lemma