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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.
Keywords  Number Theory, Automorphic Forms, Trace Formulas 

Faculty , Department  Faculty of Mathematics , Department of Mathematics 