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I study analytic number theory, in particular, the Riemann zeta function and multiple zeta functions. The Riemann zeta function is one of the most important functions in number theory, and its importance comes from its relation to the distribution of primes. Multiple zeta functions are generalizations of the Riemann zeta function. I am interested in analytic properties of multiple zeta functions and relation between the Riemann zeta function and multiple zeta functions.