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DOE OSTI · 2424707

Sun's Series via Cyclotomic Multiple Zeta Values

Zhou, Yajun
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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 ϵ {4,8,12,16,24} , namely Goncharov's multiple polylogarithms evaluated at N -th roots of unity.

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97 MATHEMATICS AND COMPUTINGBinomial coefficientsCyclotomic multiple zeta valuesHarmonic numbersMathematicsPhysicsSun's series

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Zhou, Yajun. 2023-10-12. Sun's Series via Cyclotomic Multiple Zeta Values. https://doi.org/10.3842/sigma.2023.074

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