My specific research themes are a field of arithmetic geometry, such as the relationship between abelian varieties (higher-dimensional versions of elliptic curves)and automorphic forms, and the theory of complex multiplication for abelian varieties of CM-type.
Recently, I have also become interested in the function term continued fraction expansion of special functions, which began with special values ​​of the L-function, and its application to the proof of the irrationality of the Euler-Gompertz constant.

The three main themes of number theory are prime numbers, equations, and the
Zeta function.
It is known that the distribution of prime numbers is closely related to the non-trivial zeros of the Riemann Zeta function, and the Riemann hypothesis regarding the location of these zeros is one of the Millennium Prize Problems set by the Clay Mathematics Institute.
Also included in the prize problems are the Birch and Swinnerton-Dyer conjectures concerning rational points on elliptic curves and the orders and derivatives of zeros of L-functions (a type of Zeta function). One of the fascinating things about number theory is that prime numbers, equations, and zeta functions are not independent of each other, but are related to and influence each other.