18 785 - Analytic Number Theory

Institution:

Massachusetts Institute of Technology

Subject:

Description:

Introduction to the analytic theory of automorphic forms. Constructing L-functions with analytic continuation and functional equation, spectral theory of automorphic forms, Eisenstein and Poincare series, character sums, central values of L-functions and applications. Background in elementary number theory, e.g., 18.781, strongly recommended.

Credits:

3.00

Credit Hours:

Prerequisites:

Prereq: 18.112

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

web.mit.edu/student/

Phone Number:

(617) 253-1000

Regional Accreditation:

New England Association of Schools and Colleges

Calendar System:

Four-one-four plan

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