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- W3013669121 abstract "We give a finite analogue of the well-known formula $mathrm{Li}_{underbrace{1, ldots, 1}_n}(t)=frac{1}{n!}mathrm{Li}_1(t)^n$ of multiple polylogarithms for any positive integer $n$ by using the shuffle relation of finite multiple polylogarithms of Ono–Yamamoto type. Unlike the usual case, the terms regarded as error terms appear in this formula. As a corollary, we obtain “$t leftrightarrow 1-t$” type new functional equations of finite multiple polylogarithms of Ono–Yamamoto type and Sakugawa-Seki type." @default.
- W3013669121 created "2020-04-03" @default.
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- W3013669121 date "2020-03-01" @default.
- W3013669121 modified "2023-10-16" @default.
- W3013669121 title "New functional equations of finite multiple polylogarithms" @default.
- W3013669121 doi "https://doi.org/10.2748/tmj/1585101625" @default.
- W3013669121 hasPublicationYear "2020" @default.
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