Seminar in Makroökonomik Detail

Vortragende Person/Vortragende Personen:
Adele Padgett

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.