Highly Influenced

@inproceedings{Sun2009OnUS, title={On Universal Sums of Polygonal Numbers}, author={Zhi-Wei Sun}, year={2009} }

- Published 2009

For m = 3, 4, . . . , the polygonal numbers of order m are given by pm(n) = (m−2) ( n 2 ) +n (n = 0, 1, 2, . . . ). For positive integers a, b, c and i, j, k > 3 with max{i, j, k} > 5, we call the triple (api, bpj , cpk) universal if for any n = 0, 1, 2, . . . there are nonnegative integers x, y, z such that n = api(x)+bpj(y)+cpk(z). We show that there are… CONTINUE READING

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