9 citations · 21 across the 12 of their papers we have counts for
13 papers
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…
A new approach to hypergeometric transformation formulas
Noriyuki Otsubo
We give a new method to prove in a uniform and easy way various transformation formulas for Gauss hypergeometric functions. The key is Jacobi's canonical form of the hypergeometric…
A functional logarithmic formula for hypergeometric functions 3F2
Masanori Asakura, Noriyuki Otsubo
We give a sufficient condition for that the hypergeometric function 3F2 is a linear combination of the logarithmic function. The proof is based on the regulator formula which we pr…