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Conjectures of Sun about sums of polygonal numbers

Published 30 Sep 2021 in math.NT | (2109.14793v1)

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.

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Authors (2)

  1. Kathrin Bringmann 
  2. Ben Kane 

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