MATH 757 - Analytic Number Theory

(3 units)

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.

Maximum units a student may earn: 3

Recommended Preparation: MATH 410 /MATH 610, MATH 715, and MATH 455 /MATH 655

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

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate understanding of the distribution of prime numbers.
2. utilize Dirichlet series to study mean values of arithmetic functions.
3. apply analytic methods to analyze number theoretic problems.

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