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Course Descriptions

16:640:573 - Special Topics Number Theory

Henryk Iwaniec

Subtitle:

Diophantine Approximations and Transcendental Numbers

Course Description:

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 :

-Roth theorem

-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.

Text:

J.W.S. Cassels, An Introduction to Diophantine Approximations, Alan Baker, Transcendental Number Theory

Prerequisites:

None

Sections Taught This Semester:

For more information on current instructors and sections for this course, please click HERE .

For more information on instructors and sections for this course for other semesters, please see our Teaching Schedule Page

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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

Phone: +1.848.445.2390
Fax: +1.732.445.5530