From Basel Problem to multiple zeta values

Masato Kobayashi

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From Basel Problem to multiple zeta values

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arxiv 2112.03361 v1 pith:5AIUF7MA submitted 2021-12-06 math.NT

From Basel Problem to multiple zeta values

Masato Kobayashi This is my paper

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keywords multiplebaselproblemvalueszetaarcsinebinomialcentral

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We show many consequences of the proof of Basel problem by Boo Rim Choe (1987) to central binomial series, multiple zeta values and some other multiple sums. The main idea is to evaluate integrals involving powers of arcsine function.

From Basel Problem to multiple zeta values

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