A mathematics notebook

Number Theory

Notes on integrals, infinite series, and number theory.

Sat 12 December 2020Number Theory

When is the group of units in the integers modulo n cyclic?

A proof of the classification of integers whose multiplicative group of units is cyclic.

Wed 05 February 2020Number Theory

Weyl's criterion connects uniform distribution modulo one with exponential sums and averages of Riemann-integrable functions.

Sat 25 January 2020Number Theory

Eisenstein's trigonometric proof of quadratic reciprocity, starting with Euler's criterion and Gauss's lemma.