Date and Time: Wednesday 21 October, 04.00pm
Speaker: Saad Qadri
Google Meet Link:
https://meet.google.com/tbg-fghh-nmg
Title: Lindemann-Weierstrass theorem
Abstract: A (complex) number is said to be algebraic (over rationals) if it satisfies a nonzero polynomial
equation with integer coefficients. A number that is not algebraic is said to be transcendental. Our goal
in this talk will be to prove the Lindemann Weierstrass theorem which states that if b_j's are distinct algebraic numbers then exp(b_j)'s are linearly independent over the field of algebraic numbers (over Q). This gives as its corollary the fact that pi and e are transcendental.