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math.NT2022
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…
math.NT2022
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…