ZetaValue2019-iTHEMS Special Mathematics Colloquium
- 2019年3月21日(木)14:00 - 17:30 (JST)
- 松本 耕二 (名古屋大学 教授)
- Prof. Jörn Steuding (University of Würzburg, Germany)
Prof. Kohji Matsumoto (Nagoya University)
"An overview of the theory of multiple zeta-functions"
Multiple zeta-functions are generalizations of the Riemann zeta-function, and its theory has been rapidly developed in these decades. It is connected with various fields of mathematics and mathematical physics. In this talk I will give an overview of some part of recent developments, mainly from the analytic viewpoint.
Prof. Jörn Steuding (University of Würzburg, Germany)
"On the Infinite in Number Theory"
Beginning with two simple examples from elementary number theory (one of diophantine origin and one of arithmetical nature), we discuss the role of “infinity” in number theory. We touch upon topics like how to find good rational approximations to irrational quantities and the distribution of prime numbers. We conclude with a motivation of the big open question in this field, namely, the Riemann hypothesis (one of the six unsolved millennium problems) and the Langlands program.