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Initial Runs in Integer Compositions: Lambert Series and Generalized Divisor Sums

Kleiner, Igor
arXiv (All) · Papers
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05a1505a16combinatorics
We study the initial run of equal adjacent parts in an integer composition. For a composition alpha, let P(alpha) be the common value of the parts in the initial run, let K(alpha) be the number of parts in that run, and set S(alpha)=P(alpha)K(alpha). We obtain exact finite formulas for the joint par
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