Sun's Series via Cyclotomic Multiple Zeta Values

Published 7 Jun 2023 in math.NT, hep-th, and math.CO | (2306.04638v3)

Abstract: We prove and generalize several recent conjectures of Z.-W. Sun surrounding binomial coefficients and harmonic numbers. We show that Sun's series and their analogs can be represented as cyclotomic multiple zeta values of levels $N\in{4,8,12,16,24}$, namely Goncharov's multiple polylogarithms evaluated at $N$-th roots of unity.

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Authors (1)

Yajun Zhou

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