9 citations · 21 across the 12 of their papers we have counts for
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Cubic arithmetic-geometric mean and isogenies of Hesse elliptic curves
Noriyuki Otsubo
We construct degree-three isogenies of Hesse elliptic curves over an arbitrary field of characteristic different from three, which correspond to a step of the cubic arithmetic-geom…
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…
Product formulas for hypergeometric functions over finite fields
Noriyuki Otsubo, Takato Senoue
Many product formulas are known classically for generalized hypergeometric functions over the complex numbers. In this paper, we establish some analogous formulas for generalized h…
Hypergeometric functions over finite fields
Noriyuki Otsubo
We give a definition of generalized hypergeometric functions over finite fields using modified Gauss sums, which enables us to find clear analogy with classical hypergeometric func…
An algebro-geometric study of special values of hypergeometric functions
Masanori Asakura, Noriyuki Otsubo, Tomohide Terasoma
For certain class of hypergeometric functions with rational parameters, we give a sufficient condition for the special value at to be expressed in terms of logarithms…
CM periods, CM regulators and hypergeometric functions, II
Masanori Asakura, Noriyuki Otsubo
We study periods and regulators of a certain class of fibrations of varieties whose relative has multiplication by a number field. Both are written in terms of values of hype…