Riku Higa

collaborators

3 papers

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…

math.NT2025

Lattices of type $A_{n}$ , $D_{n}$ , $E_{n}$ and codes

Riku Higa

We propose a construction of lattices from codes corresponding to lattices of type $A_{n}$ , $D_{n}$ and $E_{n}$ . This construction is a generalization of construction A of lattices from…

math.NT2023

Galois trace forms of type $A_{n}, D_{n}, E_{n}$ for odd $n$

Riku Higa, Yoshinosuke Hirakawa

Let $p$ be an odd prime number and $ζ_{p} := exp (2 π i / p)$ . Then, it is well-known that the $A_{p - 1}$ -root lattice can be realized as the (Hermitian) trace form of the $p$ -th cyclot…

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

Lattices of type An​, Dn​, En​ and codes

Galois trace forms of type An​,Dn​,En​ for odd n

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

Lattices of type $A_{n}$ , $D_{n}$ , $E_{n}$ and codes

Galois trace forms of type $A_{n}, D_{n}, E_{n}$ for odd $n$