29 citations · 76 across the 33 of their papers we have counts for
33 papers
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…
On Interactions for Large Scale Interacting Systems
Kenichi Bannai, Jun Koriki, Makiko Sasada +2
Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particl…
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…