4 papers
On the Laxton Group
Miho Aoki, Masanari Kida
We redefine a multiplicative group structure on the set of equivalence classes of rational sequences satisfying a fixed linear recurrence of degree two, which was defined by R. R.…
A family of pairs of imaginary cyclic fields of degree with both class numbers divisible by
Miho Aoki, Yasuhiro Kishi
We construct a new infinite family of pairs of imaginary cyclic fields of degree explicitly with both class numbers divisible by a given prime number . For the proof,…
Several properties of hypergeometric Bernoulli numbers
Miho Aoki, Takao Komatsu, Gopal Krishna Panda
In this paper, we give the determinant expressions of the hypergeometric Bernoulli numbers, and some relations between the hypergeometric and the classical Bernoulli numbers which…
Remarks on hypergeometric Cauchy numbers
Miho Aoki, Takao Komatsu
Hypergeometric numbers can be recognized as one of the most natural extensions of the classical Cauchy numbers in terms of determinants, though many kinds of generalizations of the…