Showing math.NTShow all
2 papers · 1 filter
math.NT2026
On the adelic Gaussian hypergeometric function
Masanori Asakura, Noriyuki Otsubo
We define the adelic hypergeometric function of special Gaussian type by means of a tower of hypergeometric curves. This function takes values in an adelic completed group ring and…
math.NT2025
Frobenius structure on hypergeometric equations, p-adic polygamma values and p-adic L-values
Masanori Asakura, Kei Hagihara
Recently, Kedlaya proves certain formula describing explicitly the Frobenius structure on a hypergeometric equation. In this paper, we give a generalization of it. In our case, the…