Yasuro Gon | Last modified date：2017.04.20 |

Graduate School

Undergraduate School

Academic Degree

Ph.D (Mathematical Science)

Field of Specialization

Number Theory

Outline Activities

I am studying on Selberg trace formula, automorphic forms and zeta

functions.

1. Explicit formula for gamma factors of Selberg zeta functions by multiple

gamma functions.

2. Generalized Whittaker functions appearing in the Fourier expansion of

automorphic forms which

generate discrete series representations.

3. Trace formulas for the integral operator of the kernel constructed from

spherical functions

which have singuralities.

4. Variational formula for Selberg zeta functions in the Teichmuller space

and central values

of L functions.

5. Special values of zeta functions and generalized Mahler measures.

6. Dirichlet series constructed from periods of automorphic forms.

functions.

1. Explicit formula for gamma factors of Selberg zeta functions by multiple

gamma functions.

2. Generalized Whittaker functions appearing in the Fourier expansion of

automorphic forms which

generate discrete series representations.

3. Trace formulas for the integral operator of the kernel constructed from

spherical functions

which have singuralities.

4. Variational formula for Selberg zeta functions in the Teichmuller space

and central values

of L functions.

5. Special values of zeta functions and generalized Mahler measures.

6. Dirichlet series constructed from periods of automorphic forms.

Research

**Research Interests**

- Automorphic forms and Number theory

keyword : Number theory, automorphic fotms, trace formulas

1998.04Automorphic forms and Number theory.

**Academic Activities**

Educational

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