5 papers
On adjoint double shuffle relations and adjoint reduction relations
Takumi Anzawa
In this paper, we give a positive answer to Jarossay's question under the adjoint reduction relations. Namely, we prove that the extended double shuffle relations together with the…
A Lie algebra associated with adjoint multiple zeta values
Takumi Anzawa
Jarossay (arXiv math.NT1412.5099) introduced adjoint multiple zeta values and, by using Racinet's dual formulation of the generating series of multiple zeta values, found $\mathbb{…
Cyclotomic symmetric multiple zeta values span the space of cyclotomic multiple zeta values
Takumi Anzawa
In this paper, we show that the cyclotomic symmetric multiple zeta values, independently proposed by Jarossay, Singar and Zhao, and Tasaka, span the space of the cyclotomic multipl…
Congruences of the -Fibonacci sequence related with its transcendence
Takumi Anzawa, Hidetaka Funakura
By using Andrews's explicit formulae of the -Fibonacci sequence introduced by Schur, we prove certain congruences of the -Fibonacci sequence which relate the sequence with th…
Weighted sum formulas for finite alternating multiple zeta values with some parameters
Takumi Anzawa
We prove a sum formula with 4 parameters among finite alternating multiple zeta values which can be regarded as an alternating version of the result of Kamano on finite multiple ze…