Diophantine Approximations and Transcendental Numbers
This course concerns two subjects which are closely related: approximations of special numbers by algebraic numbers and theory of transcendental numbers. The main results will be covered in details, in particular :
-Baker theory oflinear forms of logarithms
Among several applications I will give a solution of the Gauss Class Number One Problem for imaginary quadratic fields.
No advanced knowledge of number theory is required, but participant's curiosity in special numbers will make the course enjoyable.
J.W.S. Cassels, An Introduction to Diophantine Approximations, Alan Baker, Transcendental Number Theory
Sections Taught This Semester:
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