MATH636

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Analytic Number Theory

Mathematics Department A&S - Arts and Sciences

Subject

MATH

Catalog Number

636

Title

Analytic Number Theory

Course Description

Dirichlet series, the Riemann zeta function and L-functions, solutions to Diophantine equations, the circle method, exponential sums and character sums. Additional topics may include prime number theorems, sieve methods, connections to harmonic analysis, and automorphic forms. Prerequisite: 333, 531 and 502 or equivalent, or permission of instructor.

Grading Basis

Graded

Course Typically Offered

Spring Only

Consent (Permission Number)

No Special Consent Required

Min Units

3

Max Units

3

Lecture

General Education Curriculum Codes

QC - (QC) Quant & Comp Reasoning: A&S Curriculum, QS - (QS) Quantitative Studies