Number Theory

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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.

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.

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 roots of polynomials with rational coefficients. An algebraic number field is any finite (and therefore algebraic) field extension of the ...

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 ...

Suggested Web Sites

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

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Introduction Number Oxford Publication Science Theory -   Introduction Number Oxford Publication Science Theory The Mathematics of Oz: Mental Gymnastics from Beyond ... provoking mysteries, puzzles, and problems range from zebra numbers and circular primes to Legion's number-- ...

Applied Mathematics Number Pure Theory -   Applied Mathematics Number Pure Theory Fibonacci and Lucas Numbers: Pure and Applied Mathematics by Thomas Koshy, ...

Applied Mathematics Number Pure Theory -   Applied Mathematics Number Pure Theory Fibonacci and Lucas Numbers: Pure and Applied Mathematics by Thomas Koshy, ...

Science Math Number Theory -   Science Math Number Theory The Mathematics of Oz: Mental Gymnastics from Beyond ... provoking mysteries, puzzles, and problems range from zebra numbers and circular primes to Legion's number-- ...

Applied Mathematics Number Pure Theory -   Applied Mathematics Number Pure Theory Fibonacci and Lucas Numbers: Pure and Applied Mathematics by Thomas Koshy, ...

Computational Complexity Theory - Computational Complexity Theory Theory of Computational Complexity by Ding-Zhu Du, A complete treatment of fundamentals computational complexity theory and recent advances in complexity theory Complexity ...

Computability Theory -   Computability Theory Theory of Computational Complexity by Ding-Zhu Du, A ... treatment of fundamentals and recent advances in complexity theory Complexity theory studies the inherent difficulties of ...

Prime Polynomial - ... From Randomized Algorithms to "Primes as in P" Number Theory in Function Fields by Michael I. Rosen, Elementary number theory is concerned with arithmetic properties of ...

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