Hiroki Aoki

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math.NT2026

Modules of Jacobi forms of degree two of small levels

Hiroki Aoki, Tomoyoshi Ibukiyama

The purpose of this paper is to describe explicitly the modules of (Siegel-)Jacobi forms of degree two of index one of any scalar valued weight with respect to some congruence subg…

math.NT2025

Existence of primes in the interval $[15 x, 16 x]$ -- An entirely elementary proof --

Hiroki Aoki, Riku Higa, Ryosei Sugawara

In this paper, we give a short and entirely elementary proof of the proposition ``For any positive integer $N$ , there exists a real number $L$ such that for any real number $ x…

Modules of Jacobi forms of degree two of small levels

Existence of primes in the interval [15x,16x] -- An entirely elementary proof --

Existence of primes in the interval $[15 x, 16 x]$ -- An entirely elementary proof --