5 citations · 9 across the 6 of their papers we have counts for
12 papers · 1 filter
q-analogues of multiple zeta values and the formal double Eisenstein space
Henrik Bachmann
In this survey article, we discuss the algebraic structure of q-analogues of multiple zeta values, which are closely related to derivatives of Eisenstein series. Moreover, we intro…
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…
Generalized Jacobi-Trudi determinants and evaluations of Schur multiple zeta values
Henrik Bachmann, Steven Charlton
We present new determinant expressions for regularized Schur multiple zeta values. These generalize the known Jacobi-Trudi formulae and can be used to quickly evaluate certain type…
Modular forms and q-analogues of modified double zeta values
Henrik Bachmann
We present explicit formulas for Hecke eigenforms as linear combinations of q-analogues of modified double zeta values. As an application, we obtain period polynomial relations and…
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…
Rooted tree maps and the Kawashima relations for multiple zeta values
Henrik Bachmann, Tatsushi Tanaka
Recently, inspired by the Connes-Kreimer Hopf algebra of rooted trees, the second named author introduced rooted tree maps as a family of linear maps on the noncommutative polynomi…