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- Jones, John - Arizona State University. Algebraic number theory: Iwasawa theory, the arithmetic of elliptic curves, Galois theory; questions in computational number theory. Tables of number fields of small degree. "Discovering number theory" course material.
- Basic Library List in Number Theory - Compiled by the Mathematical Association of America (MAA). This site sub-divides Number Theory into Introductory Texts, Expositions, Elementary Monographs, Primes and Factors, Algebraic Number Theory, Analytic Number Theory, Modular Forms, P-adic Fields, Special Topics, Cryptography, History and Biography and Classic Works.
- Tsfasman, Michael - Institute for Information Transmission Problems, Russian Academy of Sciences. Algebraic geometry in relation to number theory (varieties over non-algebraically closed fields, especially over finite fields and number fields, parallelism between the function field and number field case, curves, rational varieties, rational points and zero-cycles, elliptic curves and abelian varieties, towers of varieties and asymptotic theory); Number theory (global fields, zeta-functions); Error-correcting codes; Lattices and sphere packings
- Number Theory - "An Introduction to the Theory of Numbers" by Leo Moser is a textbook covering following topics: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers. The textbook can be downloaded in several formats in pdf. Licensing terms for various uses are described on the web page.
- Number Theory Books from 1996 - A comprehensive, well-linked and well-maintained list of Number Theory books. The Number Theory Web, which houses this web page, contains links to pre-1996 books.
- Number Theory Day - The Centre for Applicable Analysis and Number Theory, Johannesburg, South Africa; 25 June 1997. Abstracts, photos.
- Vajaitu, Marian - Romanian Academy of Sciences. Algebraic number theory, analytic number theory, class field theory and theory of algebraic functions.
- Vélez, William Yslas - University of Arizona. Algebraic and elementary number theory; Group theory; Field theory; Algebraic coding theory; Communication theory; Signal processing. Preprints and articles on educational issues.
- Gerth, Frank E, III - University of Texas. Algebraic number theory, including class numbers, class groups, discriminants, class field theory, density theorems, Iwasawa theory. Contact information.
- Gonek, Steve - University of Rochester. Analytic number theory, especially multiplicative number theory and the theory of the Riemann zeta-function. Publications.
Wikipedia Articles
- Algebraic number theory - Algebraic number theory is a branch of number theory in which the concept of a number is expanded to the algebraic numbers which are mathematic roots of polynomials with rational number coefficients. An algebraic number field is any finite (and therefore) algebraic field extension of the rational numbers.
- Probabilistic number theory - Probabilistic number theory is a subfield of number theory, which uses explicitly probability to answer questions of number theory. One basic idea underlying it is that different prime numbers are, in some serious sense, like independent random variables.
- List of recreational number theory topics - This is a list of recreational number theory topics (see number theory, recreational mathematics). Listing here is not pejorative: many famous topics in number theory have origins in challenging problems posed purely for their own sake.
- Additive number theory - Additive number theory is a branch of number theory that studies ways to express an integer as the sum of integers in a set. Two classical problem in this area of number theory are the Goldbach conjecture and Waring's problem.
- Abstract analytic number theory - Abstract analytic number theory is a branch of mathematics which takes the ideas and techniques of classical analytic number theory and applies them to a variety of different mathematical fields. The classical prime number theorem serves as a prototypical example, and the emphasis is on abstract asymptotic distribution results.