Overview
Description
Arithmetic functions, the distribution of prime numbers, the Prime Number Theorem, Dirichlet series, Mellin transforms, the Perron formula, the Riemann zeta function, Dirichlet characters, Dirichlet L-functions.
Requirements
Recommended Preparation
MATH 410MATH 610MATH 715MATH 455MATH 655
Original catalog text
Recommended Preparation
Recommended Preparation: MATH 410 /MATH 610, MATH 715, and MATH 455 /MATH 655
Units
Lecture3
Catalog Details
Offering
Offered: Every Fall - Odd Years
Terms
fall
Attributes
Standard
Learning Outcomes
- demonstrate understanding of the distribution of prime numbers.
- utilize Dirichlet series to study mean values of arithmetic functions.
- apply analytic methods to analyze number theoretic problems.