Introductory Number Theory
- The Circle Method by Steven J. Miller and Ramin Takloo-Bighash
- An Introduction to the Theory of Numbers by Leo Moser
- Elementary Number Theory by W. Edwin Clark
- Math 780: Elementary Number Theory, Notes by Michael Filaseta, 1997
- An Algebraic Circle Method, Thesis submitted by Thibaut PUGIN (Columbia U)
- Notes on the Theory of Algebraic Numbers by Steve Wright.
- Papers on Zeros of the Riemann Zeta Function and Related Topics, by Andrew Odlyzko
p-adic numbers
- Lecture notes on p-adic numbers (Andrew Baker)
Arithmetic Geometry
Fermat's Last Theorem
Algebraic Number Theory
- A Computational Introduction to Number Theory and Algebra by Victor Shoup
- A Course In Algebraic Number Theory by Robert B. Ash
- Course Notes for elementary and algebraic number theory by Ivan Fesenko
- Course Notes by Jim Milne: Algebraic Number Theory
- The Euclidean algorithm in algebraic number fields by Franz Lemmermeyer
- Algebra and Number Theory by Andrew Baker
- Elementary Number Theory: Primes, Congruences, and Secrets by William A. Stein
- Notes for Dick Gross' Algebraic Number Theory Course by S. Sather-Wagstaff
- Algebraic Number Theory & Introduction to Automorphic L-functions by Ching-Li Chai
- Lecture notes on Algebraic Number Theory by Jerome Hoffmann
- Introduction to Number Theory by Franz Lemmermeyer
Analytic Number Theory
- Introduction to Analytic Number Theory Lecture nottes by A.J. Hildebrand
- Introduction to Analytic Number Theory by Prof Noam D. Elkies Lecture notes for Havard Math 259 course
- Introduction to Analytic Number Theory lecture notes by A.J. Hildebrand
- Distribution of Prime Numbers, Lecture notes by William Chen
- Course notes for analytic number theory (Graham Everest) (ps 442K)
- Introduction to Analytic Number Theory by Noam Elkies