Speaker: Kohji Matsumoto

Venue: 203 Wentian Building, Weihai Campus

Time: May 8th, 14:00-14:50 

Title: On the value-distribution of L-functions

Abstract: I will discuss the theory of M-functions, named by Y. Ihara, which are certain density functions which describe the value-distribution of L-functions. In the case of the Riemann zeta-function, the primitive form of M-functions already appeared in the work of H. Bohr and others in 1930s. In the beginning of the 21st century, Ihara developed a new approach to the theory of M-functions. In this talk I will survey Ihara’s theory, some of which are written jointly with me, mainly on Dirichlet L-functions. I will also report some recent developments in the theory of M-functions, for other type of zeta andL-functions, including some kind of automorphic L-functions.