Ellen Selling: Förenkling Lindemann-Weierstrass sats / Simplification of Lindemann-Weierstrass theorem

Time: Fri 2018-06-15 09.00 - 10.00

Location: Room 14, House 5, Kräftriket, Department of Mathematics, Stockholm University

Doctoral student: Ellen Selling (BSc student)

Supervisor: Rikard Bögvad

Abstract: In this thesis Lindemann-Weierstrass theorem will be discussed. The theorem, its proof and some of its consequences will be explained. Lindemann-Weierstrass theorem is in transcendental number theory useful to determine if some numbers are transcendental. One of the consequences of this result is that the classical constants pi and e are transcendental. The purpose with this thesis is to explain the theorem, the proof and the consequences in such a way that it could be easily understood by a reader who studied mathematics about one year at a university level. This will be done by explaining the background knowledge needed to understand the theorem and go through the lemmas needed for the proof of the theorem.  
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Last changed: Jun 08, 2018