4 papers
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…
Existence of primes in the interval -- 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 , there exists a real number such that for any real number $ x…
Modular forms from the Weierstrass functions
Hiroki Aoki, Kyoji Saito
We construct holomorphic elliptic modular forms of weight 2 and weight 1, by special values of Weierstrass p-functions, and by differences of special values of Weierstrass zeta-fun…
Generalizations of Ho-Lee's binomial interest rate model I: from one- to multi-factor
Jirô Akahori, Hiroki Aoki, Yoshihiko Nagata
In this paper a multi-factor generalization of Ho-Lee model is proposed. In sharp contrast to the classical Ho-Lee, this generalization allows for those movements other than parall…