The research interests of our group include elementary number theory, analytic number theory and representation theory, in particular, additive and multiplicative function, perfect numbers, congruence modulo integer power, the value of Witten zeta function, automorphic forms and their L-functions. For example, the Riemann hypothesis, a Clay Millennium Problem, is a part of analytic number theory, which employs analytic methods to understand the integers. Automorphic L-functions are a very important and interesting family of generalizations of Riemann's zeta function. Automorphic forms and their L-functions are at the center of the Langlands Program, which comprises a broad series of conjectures that connect number theory with representation theory.