Resources

Textbooks used for this project

Rosen, Kenneth H.

Elementary number theory and its applications. Fourth edition.

Addison-Wesley, Reading, MA, 2000.

Everest, Graham and Ward, Thomas

An introduction to number theory.

Graduate Texts in Mathematics, 232.

Springer-Verlag London, Ltd., London, 2005.

Gallian, Joseph A.

Contemporary Abstract Algebra. Eighth edition.

Brooks/Cole, Boston, MA, 2012.

Childs, Lindsay N.

A concrete introduction to higher algebra. Third edition.

Undergraduate Texts in Mathematics.

Springer, New York, 2009.

Paper detailing the relative densities of primes congruent to 1 (mod 4) versus 3 (mod 4), and Chebyshev's bias http://www.arxiv.org/abs/math/0408319v1. This paper also discusses the Riemann hypothesis.