29 citations · 76 across the 33 of their papers we have counts for
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Monotonicity of Coefficients of Interpolated Multiple Zeta Values
Shuji Yamamoto
Let be the interpolated multiple zeta value of an admissible index of depth . We show the monoton…
Truncated Hypergeometric Functions and Discretized Integrals
Shuji Yamamoto
We introduce a kind of finite truncation of the hypergeometric series and provide its discretized integral representation. This is motivated by recent results of Maesaka-Seki-Watan…
A note on the second supplementary law of rational power residue symbols
Yoshinosuke Hirakawa, Tomokazu Kashio, Ryutaro Sekigawa +2
As a natural generalization of the Legendre symbol, the -th power residue symbol is defined for primes and with . In this paper, we generali…
Interpolant of truncated multiple zeta functions
Kentaro Ihara, Yayoi Nakamura, Shuji Yamamoto
We introduce an analytic function that interpolates truncated multiple zeta functions . We represent this interpolant as a Mellin transfo…
Some Remarks on Maesaka-Seki-Watanabe's Formula for the Multiple Harmonic Sums
Shuji Yamamoto
Recently, Maesaka, Seki and Watanabe discovered a surprising equality between multiple harmonic sums and certain Riemann sums which approximate the iterated integral expression of…
Sum formulas for Schur multiple zeta values
Henrik Bachmann, Shin-ya Kadota, Yuta Suzuki +2
In this paper, we study sum formulas for Schur multiple zeta values and give a generalization of the sum formulas for multiple zeta(-star) values. We show that for ribbons of certa…