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Power Sums Related to Semigroups ${\sl S}(d_1,d_2,d_3)$

Number Theory 2007-05-23 v1

Abstract

The explicit formulas for the sums of positive powers of the integers sis_i unrepresentable by the triple of integers d1,d2,d3N,gcd(d1,d2,d3)=1d_1,d_2,d_3\in {\mathbb N}, \gcd(d_1,d_2,d_3)=1, are derived.

Keywords

Cite

@article{arxiv.math/0411444,
  title  = {Power Sums Related to Semigroups ${\sl S}(d_1,d_2,d_3)$},
  author = {Leonid G. Fel and Boris Y. Rubinstein},
  journal= {arXiv preprint arXiv:math/0411444},
  year   = {2007}
}

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6 pages