Analytic Number Theory I

Department: 
MATH
Course Number: 
8803-DUN
Hours - Lecture: 
3
Hours - Total Credit: 
3
Typical Scheduling: 
Not Regularly Scheduled

Topics:  Dirichlet series, arithmetic functions, Euler products, Zeta and L-functions functions, functional equations and explicit formulae (for psi and other functions), zero-free regions, Prime Number Theorem, Dirichlet's theorem on primes, exponential sums, Siegel zeros and Siegel's Theorem, Landau-Page Theorem, large sieve, and Bombieri-Vinogradov Theorem

Prerequisites: 

Students should be comfortable with the following topics at the undergraduate level (undergraduate students should have taken the corresponding class): Real (MATH 4317) and Complex (MATH 4320) Analysis, Abstract Algebra (MATH 4107), and Number Theory (MATH 4150).  

Course Text: 

TBA