Ku-Yu Fan

activity

20242026

collaborators

4 papers

math.NT2026

$p$ -adic multiple $L$ -functions and twisted multiple Bernoulli numbers

Ku-Yu Fan

We compute the special values ( $p$ MLFVs) of the $p$ -adic multiple $L$ -functions introduced by Furusho, Komori, Matsumoto, and Tsumura at tuples of positive integers. Furusho and Ja…

math.NT2026

$p$ -adic multiple zeta values of integer indices

Ku-Yu Fan

This paper concerns the $p$ -adic multiple zeta values of integer indices that may contain zero or negative components. We introduce the admissibility and regularizability condition…

math.NT2025

A map between arborifications of multiple zeta values

Ku-Yu Fan

Arborified multiple zeta values are a generalization of multiple zeta values associated with rooted trees. There are two types of decorated rooted trees, corresponding respectively…

math.NT2024

Coproduct Formula for Motivic Version of Yamamoto's Integral

Ku-Yu Fan

Goncharov proved an explicit formula for the coproduct in the Hopf algebra of motivic iterated integrals. Yamamoto introduced Yamamoto's integral which generalizes iterated integra…

p-adic multiple L-functions and twisted multiple Bernoulli numbers

p-adic multiple zeta values of integer indices

A map between arborifications of multiple zeta values

Coproduct Formula for Motivic Version of Yamamoto's Integral

$p$ -adic multiple $L$ -functions and twisted multiple Bernoulli numbers

$p$ -adic multiple zeta values of integer indices