collaborators

4 papers

math.NT2026

Hermite's approach to Abelian integrals revisited

Makoto Kawashima

In this article, we establish a new linear independence criterion for the values of certain {\it Lauricella hypergeometric series} with rational parameters, in both the compl…

math.NT2026

Linear independence of values of hypergeometric functions and arithmetic Gevrey series

Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima

We prove new linear independence results for the values of generalized hypergeometric functions at several distinct algebraic points, over suitable algebraic number field…

math.NT2026

Linear independence of periods related to polylogarithms

Makoto Kawashima

This paper provides the first criteria for the linear independence of multiple polylogarithm values over algebraic number fields. In particular, we derive novel results regarding t…

math.NT2026

Counting Theorems for Algebraic Relations

Gal Binyamini, Noriko Hirata-Kohno, Makoto Kawashima +1

Let X be a set definable in a sharply o-minimal structure. We consider the problem of counting the number of points where X intersects algebraic varieties V over Q of dimension k <…