2 citations · 2 across the 2 of their papers we have counts for
3 papers
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 <…
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…
Generalized hypergeometric -functions take linear independent values
Sinnou David, Noriko Hirata-Kohno, Makoto Kawashima
In this article, we show a new general linear independence criterion related to values of -functions, including the linear independence of values at algebraic points of contiguo…