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arXiv · 1808.00844

Weighted sum formula for multiple harmonic sums modulo primes

Minoru Hirose·Hideki Murahara·Shingo Saito
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Abstract

In this paper we prove a weighted sum formula for multiple harmonic sums modulo primes, thereby proving a weighted sum formula for finite multiple zeta values. Our proof utilizes difference equations for the generating series of multiple harmonic sums. We also conjecture several weighted sum formulas of similar flavor for finite multiple zeta values.

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Minoru Hirose, Hideki Murahara, Shingo Saito. 2018-08-02. Weighted sum formula for multiple harmonic sums modulo primes. https://arxiv.org/abs/1808.00844

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