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Analytic Number Theory
MATH W4007x
Credits:3 pts.
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.
Course Sections
Section Number:
001
Call Number:
72946
Course Number:
4007
Section Title:
ANALYTIC NUMBER THEORY
Day/Time:
TuTh 2:40p - 3:55p
307 Mathematics Building
Course Bulletin: http://www.columbia.edu/cu/bulletin/uwb/subj/MATH/W4007-20091-001
Instructor: D. Goldfeld
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