KWIM & CMS WS24/25: O-minimal definitions of the Gamma function and the Riemann zeta function
Time
Monday, 4. November 2024
15:15 - 16:45
Location
F426
Organizer
Prof. Dr. Salma Kuhlmann & KWIM
Speaker:
Dr. Adele Padgett
This event is part of an event series „KWIM Lecture Series“.
Abstract. O-minimality is a model-theoretic property with applications in number theory and functional transcendence. Many important functions are known to be definable in o-minimal structures when restricted to appropriate domains, including the exponential function, the Klein j function, and Weierstrass ℘ functions. I will discuss joint work with P. Speissegger in which we prove that the Gamma function, which was known to be o-minimal when restricted to the positive real numbers, is in fact o-minimal on certain unbounded complex domains. A similar result holds for the Riemann zeta function.