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arxiv: math/0411444 · v1 · submitted 2004-11-19 · 🧮 math.NT

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

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

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