The course will also introduce the use of analytic techniques (in the form of Dirichlet L-series) to the number-theoretic questions, proving the so-called "analytic class number formula". As a by-product, we shall prove Dirichlet's Theorem on Primes in Arithmetic Progressions.
As time and interest allow, other topics may include indefinite forms, an introduction to the theory of modular forms, complex multiplication of elliptic curves, generating class fields of imaginary quadratic fields, and the application of class field theoretic methods to the solution of the representation problem.
Students have the right to practice the religion of their choice. Each semester students should submit in writing to their instructors by the end of the second full week of classes their documented religious holiday schedule for the semester. Faculty must permit students who miss work for the purpose of religious observance to make up this work.
Students requiring special accomodations must make arrangements within the first two weeks of class.
return to course home page