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Ph.D (Mathematical Science)

No

Number Theory

00years06months

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.

Research Interests

• Automorphic forms and Number theory
  keyword : Number theory, automorphic fotms, trace formulas
  1998.04Automorphic forms and Number theory.

Academic Activities

Educational Activities