MATH 605

Algebraic Number Theory

Duke University · UGRD · Fall 2026

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Binary quadratic forms; orders, integral closure; Dedekind domains; fractional ideals; spectra of rings; Minkowski theory; fundamental finiteness theorems; valuations; ramification; zeta functions; density of primes in arithmetic progressions. Prerequisites: Mathematics 502 or 601 or consent of instructor.

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Class #duke-MATH605Fall 2026UGRD3 credits
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