- Number Theory - Summer School aimed at undergraduate students Lisbon, July 11-15, 2011

- Online Math Courses, videos and lectures from leading universities. This has links to some excellent number theory courses.
- Algebraic Number Theory and commutative algebra, lecture notes by Robert Ash
- lecture notes on p-adic numbers and introductory number theory (Andrew Baker)
- Algebraic number theory notes (Matt Baker - pdf)
- An exposition of the elementary proof of the prime number theorem of Atle Selberg (Simone Battagliero)
- Cours d'arithmétique, notes by Pascal Boyer
- Zahlentheorie (Notes by Winfried Bruns)
- Algebra 2 - number theory for teacher education, Michal Bulant (in Czech)
- L-functions (lecture course by Kevin Buzzard)
- A course in number theory (Peter Cameron)
- MAS4002: Algebraic Number Theory, Course notes by Robin Chapman, University of Exeter
- Number Theory 2013-2014, Course notes by Robin Chapman, University of Exeter
- Algebraic Number Theory and Automorphic L-functions, lecture notes by Ching-Li Chai
- A Course on Number Theory (Peter J. Cameron)
- Curso avanzado de Teoría de Números (Fernando Chamizo)
- Math 4400/6400 - Number Theory (Pete Clark)
- Computational class field theory, A course given at the Middle East Technical University, Ankara, 1997 by Henri Cohen (dvi 255K)
- Draft chapters of elliptic curve handbook ECH1 (Ian G. Connell)
- Modular forms (Igor Dolgachev)
- lecture notes for Math 259: Introduction to Analytic Number Theory (Spring 1998) (Noam Elkies)
- Course Notes for elementary and algebraic number theory, local fields, Ivan Fesenko
- Math 780: Elementary Number Theory, Notes by Michael Filaseta, 1997
- lectures on cryptography, Heraklion, Crete 2003, (Gerhard Frey)
- Vinogradov's three-primes theorem, notes by Timothy Gowers (dvi 54K)
- Fall 2012-Math 201 Elementary Number Theory, Aaron Greicius
- Curves over finite fields, Richard Griffon
*Elementary Number Theory*, by Peter Hackman- Azar y Aritmética (a course on probabilistic number theory by Harald Helfgott)
- lecture notes on algebraic number theory (Jerome Hoffman)
- lecture notes on elementary number theory (Bruce Ikenaga)
- Number Theory lecture notes (Eugen Ionascu)
- Math 254B (Number Theory), lecture notes on class field theory, abelian extensions of number fields etc (Kiran Kedlaya)
- Notes on class field theory, Kiran S. Kedlaya
- 18.785: Analytic Number Theory (MIT, Spring 2007, Kiran Kedlaya)
- Cours de cryptographie, notes by Alain Kraus
- Algebraic Number Theory, lecture Notes by Franz Lemmermeyer
*Quadratische Zahlkörper*, lecture notes by Franz Lemmermeyer- Topics in Algebraic Geometry: Elliptic Curves, lecture course by Franz Lemmermeyer
- Number theory lecture notes from Leiden University
- Seminar Notes on Elliptic Curves and Formal Groups: J. Lubin, J.-P. Serre and J. Tate, Summer Institute on Algebraic Geometry, Woods Hole, 1964
- Exploring Number Theory, a blog on elementary number theory by Dan Ma
- Course notes in elementary number theory by Rudolph Maier (in Portuguese)
- Math 539, 2005, lecture notes on analytic number theory by Greg Martin
- Introduction to number theory (MATH 4803/5803), lecture notes by Kimball Martin
- Number theory ii (MATH 6393), lecture notes on algebraic number theory by Kimball Martin
- Modular forms (MATH 6393), lecture notes by Kimball Martin
- Theory of Numbers, lecture notes by Yotsanan Meemark
- Math 574 - A Graduate course in automorphic forms and representations (Stephen Miller)
- Course Notes by Jim Milne: Algebraic number theory, Class field theory, Algebraic Geometry, Elliptic Curves, Modular functions and forms, Abelian varieties, Etale Cohomology
- DEA 2003/04: Elliptic functions and elliptic curves, lecture notes by Jan Nekovář
- Part III Modular Forms, Lent 2014 (James Newton)
- Maple Tutorial for Number Theory (Don Rideout)
- lecture notes on elementary number theory (David Santos)
- Draft of PCMI lecture Notes on Open Questions in Arithmetic Algebraic Geometry (Alice Silverberg) (ps file 803K)
- Continued fractions, Pell's equation, generating functions (Joe Silverman)
- Chapters 1-6 of
*A friendly introduction to number theory*by Joe Silverman - Notes on additive combinatorics K. Soundararajan
- Notes by Jeff Hoffstein from a course Ma253 taught by Harold Stark at MIT
*Elementary Number Theory: Primes, Congruences, and Secrets*, William Stein, Undergraduate Text, Springer 2009 (freely available online)- Algebraic number theory course book (William Stein)
- lectures on Modular Forms and Hecke Operators (Ken Ribet and William A. Stein)
- Number rings, local fields, elliptic curves, lecture notes by Peter Stevenhagen
- Course notes on analytic number theory, algebraic number theory, linear forms in logarithms and diophantine equations (Cameron Stewart)
- Elliptische Kurven I/II, (lecture notes in German by Michael Stoll)
- Introductory Number Theory (Course notes by Michael Stoll)
- Descent on Elliptic Curves (Course notes by Michael Stoll)
- Exercises on binary quadratic forms to supplement David Cox's book
*Primes of the Form x*(Jeff Stopple)^{2}+ny^{2} - 18.785 Number Theory I (MIT, Fall 2019) (Andrew Sutherland)
- 18.783 Elliptic Curves (MIT, Spring 2019) (Andrew Sutherland)
- Combinatorial and Analytic Number Theory, (Robert Tijdeman 2007)
- Course notes in number theory (Felipe Voloch)
- Introduction to Diophantine methods: irrationality and transcendence, course notes by Michel Waldschmidt
- Cours de théorie des nombres, notes by Michel Waldschmidt
- Algebraic number theory course notes (Tom Weston)
- Notes on elementary number theory (David Wilkins)
- Vorlesungsmanuskripte und Übungen zur Zahlentheorie (Dieter Wolke)
*Circulants*, an online book by Alun Wyn-Jones- Introduzione alla Teoria Analitica dei Numeri, lecture notes by Alessandro Zaccagnini

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* Last modified 1st July 2022*