On some universal sums of generalized polygonal numbers

Fan Ge, Zhi-Wei Sun

For $m=3,4,\dots$ those $p_m(x)=(m-2)x(x-1)/2+x$ with $x\in \mathbb{Z}$ are called generalized $m$-gonal numbers. Sun [13] studied for what values of positive integers $a,b,c$ the s…