MATH W4007y - Analytic Number Theory

Institution:

Barnard College

Subject:

Description:

A one semeser course covering the theory of modular forms, zeta functions, L -functions, and the Riemann hypothesis. Particular topics covered include the Riemann zeta function, the prime number theorem, Dirichlet characters, Dirichlet L-functions, Siegel zeros, prime number theorem for arithmetic progressions, SL (2, Z) and subgroups, quotients of the upper half-plane and cusps, modular forms, Fourier expansions of modular forms, Hecke operators, L-functions of modular forms. Prerequisites: Math V3007 3 points

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.barnard.edu

Phone Number:

(212) 854-5262

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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