3 papers
math.NT2025
Iterated integrals on the Legendre family of elliptic curves
Eisuke Otsuka
K.T. Chen showed that iterated integrals give comparison isomorphisms between the cohomologies of bar complexes and fundamental group rings. This led to the development of an algeb…
math.NT2024
Motivic interpretations for iterated integrals on some specific algebraic curves
Eisuke Otsuka
Multiple zeta values (MZVs for short) can be represented as iterated integrals of -rational algebraic differential forms on $\mathbb{P}^1(\mathbb{C})\setminus\{0, 1, \i…
math.NT2023
On arithmetic properties of periods for some rational differential forms over on the Fermat curve of degree 2
Eisuke Otsuka
In this paper, we will define analogues of multiple zeta values by replacing the differential forms defining multiple zeta values with some -rational differential forms…