Mizuki Akeno

collaborators

3 papers

math.NT2026

On the level of distribution of Goldbach primes and its applications

Mizuki Akeno

We prove that, for almost all even integers $N > 0$ , the set of Goldbach primes $P \cap (N - P)$ has a level of distribution $1/6$ . As applications, we show that almo…

math.CO2026

On elementary estimates for the partition function

Mizuki Akeno

In this paper, we obtain upper and lower bounds for the partition function $p (n)$ by using an elementary geometric inequality in Euclidean space, and we extend the method to genera…

math.NT2025

Small gaps between Goldbach primes

Mizuki Akeno

We study small gaps between Goldbach primes $P \cap (N - P)$ using the Bombieri-Davenport method and the Maynard-Tao method, and compare the two. We show that for a…