10 citations · 11 across the 9 of their papers we have counts for
9 papers
Galois module structure of algebraic integers of the simplest cubic field
Hajime Ogawa, Miho Aoki
Let be a simplest cubic field with Galois group . The associated order is denoted as ${\cal A}_{L_n/\mathbb Q}:= \{ x\in {\mathbb Q} [G] \, |\, x…
Normal integral bases of Lehmer's cyclic quintic fields
Yu Hashimoto, Miho Aoki
Let be a tamely ramified cyclic quintic field generated by a root of Emma Lehmer's parametric polynomial. We give all normal integral bases for only by the roots of the…
Chebyshev's Bias against Splitting and Principal Primes in Global Fields
Miho Aoki, Shin-ya Koyama
Reasons for the emergence of Chebyshev's bias were investigated. The Deep Riemann Hypothesis (DRH) enables us to reveal that the bias is a natural phenomenon for achieving a well-b…
Normal integral bases and Gaussian periods in the simplest cubic fields
Yu Hashimoto, Miho Aoki
We give all normal integral bases for the simplest cubic field generated by the roots of Shanks' cubic polynomial when these bases exist, that is, is tamely r…
On values of the higher derivatives of the Barnes zeta function at non-positive integers
Shinpei Sakane, Miho Aoki
Let be a complex number which has a positive real part, and be positive rational numbers. We show that can be expressed a…
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.…