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Power Sums Related to Semigroups S(d1, d2, d3)

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Abstract

The explicit formulas for the sums of positive powers of the integers \(s_i\) unrepresentable by the triple of integers \(d_1,d_2,d_3\in {\Bbb N}, \quad\gcd(d_1,d_2,d_3)=1\), are derived.

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Authors and Affiliations

  1. Department of Civil Engineering, Technion, Haifa 32000, Israel

    Leonid G. Fel

  2. Department of Mathematics, University of California, One Shields Dr., Davis, CA 95616, USA

    Boris Y. Rubinstein

Authors
  1. Leonid G. Fel
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  2. Boris Y. Rubinstein
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Correspondence to Leonid G. Fel or Boris Y. Rubinstein.

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Fel, L., Rubinstein, B. Power Sums Related to Semigroups S(d1, d2, d3). Semigroup Forum 74, 93–98 (2007). https://doi.org/10.1007/s00233-006-0658-6

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  • DOI: https://doi.org/10.1007/s00233-006-0658-6

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