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104 LOV
TR
9:30-10:45
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Analytic Number Theory
MAA 5932 Spring 2006
http://www.math.fsu.edu/~bowers/MAA5932/
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104 LOV
TR
9:30-10:45
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instructor
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Philip L. Bowers
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contact me
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118 or 227 Love Building; 644-2889 or 645-3338 (office); 644-2202 (front desk)
email: bowers@math.fsu.edu; webpage: http://www.math.fsu.edu/~bowers/
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office hours
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Anytime I am in one of my offices, or by appointment.
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eligibility
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The student should be a breathing human being and have some expertise in graduate level complex variable theory.
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text
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There isn't any official text. I am gleaning most of the material from three texts. They are Introduction
to Analytic Number Theory and Modular Functions and Dirichlet Series in Number Theory, both by Tom
Apostol, and Elliptic Curves by Anthony Knapp.
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content
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- Dirichlet's Theorem on Primes in Arithmetic Progressions
- The Prime Number Theorem
- Elliptic Functions and the Dedekind Eta Function
- Rademacher's Series for the Partition Function
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homework
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Each student will have a project to prepare and present.
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objectives
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The purpose of this course is to introduce students to techniques in analytic number theory by
presenting three of the major accomplishments of the field--Dirchlet's
proof of the infinitude of primes in
every arithmetic progression with coprime generators, the Prime Number Theorem, and Rademacher's convergent
series for the partition function.
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attendance
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Attendance is mandatory.
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courtesy
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Generally, I expect you to get to class on time and not to leave class
until I have dismissed it. If you must leave class early, please let
me know before class begins.
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grading
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Your grade in the course will be based on attendance and a project.
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