MATH 587
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Introduction to Analytic Number Theory
Mathematics
College of Computational, Mathematical, & Physical Sciences
Course Description
Arithmetical functions; distribution of primes; Dirichlet characters; Dirichlet's theorem; Gauss sums; primitive roots; Dirichlet L-functions; Riemann zeta-function; prime number theorem; partitions.
When Taught
Fall Odd Years
Min
3
Fixed/Max
3
Fixed
3
Fixed
0
Other Prerequisites
Math 352 or equivalent.
Title
Overview
Learning Outcome
Arithmetic functions
Elementary theorems on distribution of prime numbers
Finite abelian groups and their characters
Dirichlet series and Euler product
The zeta function and the Dirichlet L-functions
Partitions
Title
Learning Outcomes
Learning Outcome
Students should know all relevant definitions, correct statements of the major theorems (including their hypotheses and limitations), and examples and non-examples of the various concepts. The students should be able to demonstrate their mastery by solving non-trivial problems related to these concepts, and by proving simple (but non-trivial) theorems about the concepts below, related to, but not identical to, statements proven by the text or instructor. For more detailed information visit the Math 587 Wiki page.
