Y. Kishi

activity

20172019

collaborators

3 papers

math.NT2019

5-Class towers of cyclic quartic fields arising from quintic reflection

Abdelmalek Azizi, Yasuhiro Kishi, Daniel C. Mayer +2

Let zeta5 be a primitive fifth root of unity and d<>1 be a quadratic fundamental discriminant not divisible by 5. For the 5-dual cyclic quartic field M=Q((zeta5-zeta5^-1)*d^1/2) of…

math.NT2018

A family of pairs of imaginary cyclic fields of degree $(p - 1) /2$ with both class numbers divisible by $p$

Miho Aoki, Yasuhiro Kishi

We construct a new infinite family of pairs of imaginary cyclic fields of degree $(p - 1) /2$ explicitly with both class numbers divisible by a given prime number $p$ . For the proof,…

math.NT2017

Divisibility of the class numbers of imaginary quadratic fields

Kalyan Chakraborty, Azizul Hoque, Yasuhiro Kishi +1

For a given odd integer $n > 1$ , we provide some families of imaginary quadratic number fields of the form $Q (x^{2} - t^{n})$ whose ideal class group has a subgroup isomorp…

5-Class towers of cyclic quartic fields arising from quintic reflection

A family of pairs of imaginary cyclic fields of degree (p−1)/2 with both class numbers divisible by p

Divisibility of the class numbers of imaginary quadratic fields

A family of pairs of imaginary cyclic fields of degree $(p - 1) /2$ with both class numbers divisible by $p$