Tata Institute of Fundamental Research

Transcendental Numbers and Liouville's Theorem

STCS Student Seminar
Speaker: Phani Raj Lolakapuri
Organiser: Nikhil S Mande
Date: Friday, 29 Jan 2016, 16:00 to 17:00
Venue: A-201 (STCS Seminar Room)

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Abstract:  Abstract: In 1853, Liouville proved a fundamental result concerning approximations of algebraic numbers by rationals, which said one can't approximate algebraic numbers "well" using rationals. This enabled him to construct explicitly some transcendental numbers.

In this talk, we will discuss this result and an interesting way to construct transcendental numbers.