MATH 655 - Elementary Theory of Numbers I

(3 units)

Congruences, primitive roots, arithmetic functions, quadratic reciprocity, distribution of prime numbers, diophantine equations, rational approximations, algebraic numbers.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Spring - Odd Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate knowledge of divisibility, congruences and primitive roots.
2. solve Diophantine equations using the theory of congruences, diophantine approximation and algebraic numbers.
3. analyze the distribution of primes and mean values of arithmetic functions.
4. apply the course concepts to research problems.
5. synthesize number theoretical methods with other mathematical concepts.

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