IMSc Webinar

Multiple Dirichlet series with arithmetical coefficients on the numerators

Kohji Matsumoto

Nagoya University, Japan

We discuss various types of multiple Dirichlet series with arithmetical coefficients
on the numerators. The properties of those Dirichlet series surely depend on what
kind of coefficients is on the numerators. Some of them can be continued
meromorphically in the whole space, while some others have natural boundaries.
One of the most interesting cases is that the coefficients are von Mangold functions.
In this case there is a connection between the relevant Dirichlet series and Goldbach’s
problem. I will report the contents of my several papers, written jointly with various
people, some are rather old, while some are quite new.

Google meet link for this talk is

meet.google.com/tft-kygd-cbw