134 citations · 620 across the 41 of their papers we have counts for
41 papers
A q-analogue of symmetric multiple zeta value
Yoshihiro Takeyama
We construct a q-analogue of truncated version of symmetric multiple zeta values which satisfies the double shuffle relation. Using it, we define a q-analogue of symmetric multiple…
The ring of finite algebraic numbers and its application to the law of decomposition of primes
Julian Rosen, Yoshihiro Takeyama, Koji Tasaka +1
In this paper, we develop an explicit method to express finite algebraic numbers (in particular, certain idempotents among them) in terms of linear recurrent sequences, and give ap…
On a weighted sum of multiple T-values of fixed weight and depth
Yoshihiro Takeyama
The multiple T-value, which is a variant of multiple zeta value of level two, is introduced by Kaneko and Tsumura. We show that the generating function of a weighted sum of the mul…
Supercongruences of multiple harmonic -sums and generalized finite/symmetric multiple zeta values
Yoshihiro Takeyama, Koji Tasaka
The Kaneko--Zagier conjecture describes a correspondence between finite multiple zeta values and symmetric multiple zeta values. Its refined version has been established by Jarossa…
Finite and symmetric Mordell-Tornheim multiple zeta values
Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka
We introduce finite and symmetric Mordell-Tornheim type of multiple zeta values and give a new approach to the Kaneko-Zagier conjecture stating that the finite and symmetric multip…
Special values of finite multiple harmonic q-series at roots of unity
Henrik Bachmann, Yoshihiro Takeyama, Koji Tasaka
We study special values of finite multiple harmonic q-series at roots of unity. These objects were recently introduced by the authors and it was shown that they have connections to…