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- W4297486871 abstract "We consider binomial and inverse binomial sums at infinity and rewrite them in terms of a small set of constants, such as powers of $pi$ or $log(2)$. In order to perform these simplifications, we view the series as specializations of generating series. For these generating series, we derive integral representations in terms of root-valued iterated integrals. Using substitutions, we express the interated integrals as cyclotomic harmonic polylogarithms. Finally, by applying known relations among the cyclotomic harmonic polylogarithms, we derive expressions in terms of several constants." @default.
- W4297486871 created "2022-09-29" @default.
- W4297486871 creator A5010665747 @default.
- W4297486871 date "2015-07-07" @default.
- W4297486871 modified "2023-09-25" @default.
- W4297486871 title "Discovering and Proving Infinite Binomial Sums Identities" @default.
- W4297486871 doi "https://doi.org/10.48550/arxiv.1507.01703" @default.
- W4297486871 hasPublicationYear "2015" @default.
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