Wed, October 21, 2020
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4:00pm [4:00pm] Saad Qadri
Description:
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.
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