Abstract
Diophantine approximation is one of the powerful tools to tackle transcendence questions. In this talk I will explain how to use Liouville theorem and Roth's theorem, to prove certain real numbers are transcendental. In particular, we will see that the transcendence of the sums $\sum_{n=1}^\infty 1/2^{n!}$ and $\sum_{n=1}^\infty 1/2^{3^n} $ are immediate consequences of these theorems. I will conclude this talk by presenting my results on the transcendence criterion for Cantor series expansion using the Schmidt Subspace Theorem, which is a higher dimensional generalization of Roth's theorem.
Speaker
Veekesh Kumar
Date/Time
Venue
SMS Seminar Hall