10 citations · 44 across the 19 of their papers we have counts for
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On rings of differential operators derived from automorphic forms
Atsuhira Nagano
We study linear ordinary differential equations which are analytically parametrized on Hermitian symmetric spaces and invariant under the action of symplectic groups. They are gene…
A theta expression of the Hilbert modular functions for via the periods of surfaces
Atsuhira Nagano
In this paper, we give an extension of the classical story of the elliptic modular function to the Hilbert modular case for . We construct the period mapping…
Double integrals on a weighted projective plane and the Hilbert modular functions for
Atsuhira Nagano
The aim of this paper is to give an explicit extension of the classical elliptic integrals to the Hilbert modular case for . We study a family of Kummer surfa…
Period differential equations for the families of surfaces with parameters derived from the reflexive polytopes
Atsuhira Nagano
In this paper, we study the period mappings for the families of surfaces derived from the -dimensional -verticed reflexive polytopes. We determine the lattice structures…