2 papers
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
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 <…