Overview
Description
Congruences, primitive roots, arithmetic functions, quadratic reciprocity, distribution of prime numbers, diophantine equations, rational approximations, algebraic numbers.
Units
Lecture3
Catalog Details
Offering
Offered: Every Spring - Odd Years
Terms
spring
Attributes
Standard
Learning Outcomes
- demonstrate knowledge of divisibility, congruences and primitive roots.
- solve Diophantine equations using the theory of congruences, diophantine approximation and algebraic numbers.
- analyze the distribution of primes and mean values of arithmetic functions.
- apply the course concepts to research problems.
- synthesize number theoretical methods with other mathematical concepts.