21 citations · 88 across the 18 of their papers we have counts for
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Topological properties of generalized Markoff mod graphs
Shohei Satake, Yoshinori Yamasaki
The generalized Markoff mod graph is defined via the equation over the finite field of prime order . In this paper, we investigate the top…
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…
Checkerboard style Schur multiple zeta values and odd single zeta values
Henrik Bachmann, Yoshinori Yamasaki
We give explicit formulas for the recently introduced Schur multiple zeta values, which generalize multiple zeta(-star) values and which assign to a Young tableaux a real number. I…
On Schur multiple zeta functions: A combinatoric generalization of multiple zeta functions
Maki Nakasuji, Ouamporn Phuksuwan, Yoshinori Yamasaki
We introduce Schur multiple zeta functions which interpolate both the multiple zeta and multiple zeta-star functions of the Euler-Zagier type combinatorially. We first study their…
Ramanujan Cayley graphs of the generalized quaternion groups and the Hardy-Littlewood conjecture
Yoshinori Yamasaki
In this article, we investigate the bound of the valency of the Cayley graphs of the generalized quaternion groups which guarantees to be Ramanujan. As is the cases of the cyclic a…
An explicit prime geodesic theorem for discrete tori and the hypergeometric functions
Yoshinori Yamasaki
The discrete tori are graph analogues of the real tori, which are defined by the Cayley graphs of a finite product of finite cyclic groups. In this paper, using the theory of the h…