Analytic Number Theory OpenCourseWare: A Free Online MIT Graduate Study Mathematics Course

Published Jan 05, 2009

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The Massachusetts Institute of Technology's (MIT) OpenCourseWare 'Analytic Number Theory' is appropriate for graduate-level students earning degrees in Statistics or Mathematics. The course introduces analytic number theory and the prime number theorem as they are used in arithmetic progressions. Before beginning this course, students should have a thorough understanding of complex analysis and a general familiarity with number theory and abstract algebra.

Analytic Number Theory: Course Specifics

Degree Level Free Audio Video Downloads
Graduate Yes No No Yes

Lectures/Notes Study Materials Tests/Quizzes
Yes Yes No

Analytic Number Theory: Course Description

Analytic number theory explores the properties of prime numbers and integers using real and complex analysis. In this introductory course, students will look at a variety of analysis theories and techniques, including the prime number theorem, the Riemann zeta function, von Mangoldt's formula, the Selberg sieve and Sato-Tate distribution. The 'Analytic Number Theory' course, designed by MIT's Professor Kiran Kedlaya, presents these topics through a series of 25 lectures, with recommended readings and exercises to help further your understanding of analytic number theory. The course was developed for graduate students of Mathematics who have completed some previous coursework in complex analysis, number theory and abstract analysis.

The OpenCourseWare includes downloadable readings, lecture notes and assignments. For more information, visit the analytic number theory course web page.

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