Literature
Two of the most popular introductions to the subject are:
- G. H. Hardy; E. M. Wright (2008) . An introduction to the theory of numbers (rev. by D. R. Heath-Brown and J. H. Silverman, 6th ed.). Oxford University Press. ISBN 978-0-19-921986-5. http://books.google.com/books?id=rey9wfSaJ9EC&dq.
- Vinogradov, I. M. (2003) . Elements of Number Theory (reprint of the 1954 ed.). Mineola, NY: Dover Publications.
Hardy and Wright's book is a comprehensive classic, though its clarity sometimes suffers due to the authors' insistence on elementary methods. Vinogradov's main attraction consists in its set of problems, which quickly lead to Vinogradov's own research interests; the text itself is very basic and close to minimal.
Popular choices for a second textbook include:
- Borevich, A. I.; Shafarevich, Igor R. (1966). Number theory. Pure and Applied Mathematics. 20. Boston, MA: Academic Press. ISBN 978-0-12-117850-5. MR 0195803. http://books.google.com/books?id=njgVUjjO-EAC.
- Serre, Jean-Pierre (1996) . A course in arithmetic. Graduate texts in mathematics. 7. Springer. ISBN 978-0-387-90040-7.
Read more about this topic: Number Theorists
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