Course Description

Mathematics 313a/b Elementary Number Theory II

Arithmetic functions, perfect numbers, the Möbius inversion formula, introduction to Dirichlet series and the Riemann zeta function, some methods of combinatorial number theory, primitive roots and their relationship with quadratic reciprocity, the Gaussian integers, sums of squares and Minkowski's theorem, square and triangular numbers, Pell's equation, introduction to elliptic curves.

Antirequisite: Mathematics 240

Prerequisite: Mathematics 310a or Mathematics 223b

3 lecture hours, half course.

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