A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2020; you can also visit the original URL.
The file type is application/pdf
.
An Analog of the Lindemann-Weierstrass Theorem for the Weierstrass p-Function
2014
This thesis aims to prove the following statement, where the Weierstrass p-function has algebraic invariants and complex multiplication by Q(alpha): "If beta_1,..., beta_n are algebraic numbers which are linearly independent over Q(alpha), then p(beta_1),...,p(beta_n) are algebraically independent over Q." This was proven by Philippon in 1983, and the proof in this thesis follows his ideas. The difference lies in the strength of the tools used, allowing certain arguments to be simplified. This
doi:10.20381/ruor-6361
fatcat:67cu3bzdajekfadshtxmgjlsju