Joint value distribution of quadratic L-functions (joint work with Hirofumi Nagoshi)
- 2019年2月25日16:20 - 17:20 (JST)
- Prof. Hidehiko Mishou (東京電機大学)
In 1975, Voronin established the universality theorem for the Riemann zeta function. Roughly speaking this theorem asserts that any holomorphic function on 1/2<Re(s)<1 can be uniformly approximated by a suitable vertical translation of the Riemann zeta function. In this talk, we state that the joint universality theorem for a set of Dirichlet L-functions associated with real primitive characters holds as we move the modulus of characters. As a corollary of this result, we also establish a joint denseness result for a set of class numbers of imaginary quadratic fields. This is a joint work with Hirofumi Nagoshi (Gunma University).