2 citations · 2 across the 4 of their papers we have counts for
8 papers · 1 filter
Symmetric multiple Eisenstein series
Takashi Hara, Kenji Sakugawa, Koji Tasaka
In this paper, we introduce the symmetric multiple Eisenstein series, a variant of the multiple Eisenstein series. As a fundamental result, we show that they satisfy the linear shu…
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…
Finite and symmetric colored multiple zeta values and multiple harmonic q-series at roots of unity
Koji Tasaka
The Kaneko-Zagier conjecture states that finite and symmetric multiple zeta values satisfy the same relations. In the previous work with H.~Bachmann and Y.~Takeyama, we proved that…
Hecke eigenform and double Eisenstein series
Koji Tasaka
Cusp forms for the full modular group can be written as linear combination of double Eisenstein series introduced by Gangl, Kaneko and Zagier. We give an explicit formula for decom…
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…
On Ecalle's and Brown's polar solutions to the double shuffle equations modulo products
Nils Matthes, Koji Tasaka
Two explicit sets of solutions to the double shuffle equations modulo products were introduced by Ecalle and Brown respectively. We place the two solutions into the same algebraic…