3 papers
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.AG2026
Periods of Limiting Mixed Hodge Structures of Projective Hypersurfaces
Masanori Asakura, Saiei-Jaeyeong Matsubara-Heo
For a generic one-parameter degeneration of projective hypersurfaces, we show that the periods of the limiting mixed Hodge structure are generated by certain special values of loga…
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…