1. Number Theory - Wikipedia, The Free Encyclopedia Retrieved from http//en.wikipedia.org/wiki/number_theory . Categories Number theory Discrete mathematics. Hidden categories All articles with http://en.wikipedia.org/wiki/Number_theory

Number theory From Wikipedia, the free encyclopedia Jump to: navigation search Number theory is the branch of pure mathematics concerned with the properties of numbers in general, and integers in particular, as well as the wider classes of problems that arise from their study. Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated. ( See the list of number theory topics The term " arithmetic " is also used to refer to number theory. This is a somewhat older term, which is no longer as popular as it once was. Number theory used to be called the higher arithmetic , but this too is dropping out of use. Nevertheless, it still shows up in the names of mathematical fields ( arithmetic functions arithmetic of elliptic curves fundamental theorem of arithmetic ). This sense of the term arithmetic should not be confused either with elementary arithmetic , or with the branch of logic which studies Peano arithmetic as a formal system Mathematicians working in the field of number theory are called number theorists When arranging the natural numbers in a spiral and emphasizing the prime numbers, an intriguing and not fully explained pattern is observed, called the

2. CiteULike: Tag Number_theory [11 Articles] posted to number_theory by tpoff on 200511-15 182504 as posted to number_theory by NitinCR on 2007-05-11 082431 as http://www.citeulike.org/tag/number_theory

Register Log in FAQ Sponsored link CiteULike News CiteGeist Discussion Journals Browse current issues Groups Search groups Tag number_theory [11 articles] Recent papers classified by the tag number_theory. Hidden Life of Riemann's Zeta Function 1. Arrow, Bow, and Targets (13 Jul 2007) by Yuri Matiyasevich posted to by yakovenko on 2007-07-16 14:53:19 as along with 1 person ansobol Digit Reversal Without Apology (15 Nov 2005) by Lara Pudwell posted to by tpoff on 2005-11-16 21:35:03 as along with 1 person BarrosH The Irrationality of Certain Numbers The Two-Year College Mathematics Journal , Vol. 1, No. 1. (1970), pp. 30-31. by Peter A Lindstrom posted to by tpoff on 2005-11-15 18:25:04 as The Theory of Numbers : An Introduction (Markham Mathematics Series) (28 March 2001) by Anthony A Gioia posted to by NitinCR on 2007-05-11 08:24:31 as Noncommutative Geometry, Quantum Fields and Motives (Colloquium Publications (Amer Mathematical Soc)) (20 December 2007) by Alain Connes , Matilde Marcolli posted to qft ncg by NitinCR on 2008-02-17 11:24:59 as Number Theory for Beginners (15 May 1979) by Andr© Weil posted to by NitinCR on 2007-05-11 11:01:30 as From Physics to Number Theory via Noncommutative Geometry. Part I: Quantum Statistical Mechanics of Q-lattices

3. The Math Forum - Math Library - Number Theory The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites http://mathforum.org/library/topics/number_theory/

Browse and Search the Library Home Math Topics : Number Theory Library Home Search Full Table of Contents Suggest a Link ... Library Help Subcategories (see also All Sites in this category Algebraic Number Theory Analytic Number Theory Sequences and Sets Fibonacci Sequence Selected Sites (see also All Sites in this category Continued Fractions: an Introduction - Adam Van Tuyl A brief introduction to the field of continued fractions, including some basic theory about the subject; the history of continued fractions, tracing some of the major developments in the field in the past 2500 years; some interactive applications that demonstrate the uses of continued fractions and let you calculate them; and the resources used in creating this site, including a bibliography and links to other sites on the Web. more>> Fermat's Last Theorem - MacTutor Math History Archives Essay describing Fermat's theorem with links to mathematicians such as Sophie Germain, Legendre, Dirichlet, Shimura and Taniyama, etc., from its inception through Andrew Wiles' proof, with another web site and 17 references (books/articles). more>> Number Theory - Dave Rusin; The Mathematical Atlas

4. Index Of /MTA/Number_Theory Index of /MTA/number_theory. Parent Directory; 1Intro.div.prime.sieving/; 10-carmichae.strong_pseudo_prime.miller_rabin/ http://roydallal.t35.com/MTA/Number_Theory/

Index of /MTA/Number_Theory Parent Directory 1-Intro.div.prime.sieving/ 10-carmichae.strong_pseudo_prime.miller_rabin/ 11-primitive_roots.cyclic_groups.creator/ ... sylabos/

5. Index Of /contest-lib/number_theory . Parent Directory, -. gcd.cpp, 25-Oct-2007 1648, 507.......Index of /contestlib/number_theory. Name, Last modified, Size, http://darcs.atrus.org/contest-lib/number_theory/

Index of /contest-lib/number_theory Name Last modified Size Description ... gcd.cpp 25-Oct-2007 16:48

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Popular Newest Search Tags: number_theory Metagg mashes Del.icio.us Digg Reddit Slashdot ... Lipstick , and WeSmirch with Thumbnails from Snap How the Schor algorithm works, without maths "So, here’s the task I’ve set for myself: to explain Shor’s algorithm without using a single ket sign, or for that matter any math beyond arithmetic." Shtetl-Optimized » Blog Archive » Shor, I’ll do it So, here’s the task I’ve set for myself: to explain Shor’s algorithm without using a single ket sign, or for that matter any math beyond arithmetic. ( How the Schor algorithm works, without maths Metagg - 1 year 5 weeks ago in toread prime popular parallel ... computer-science , and algorithm What's Special About This Number? 0 is the additive identity.1 is the multiplicative identity.2 is the only even prime.3 is the number of spatial dimensions we live in.4 is the smallest number of colors sufficient to color all planar maps.5 is the number of Platonic solids. What's Special About This Number? neat site about numbers each number is given a connection to mathematical vocabulary- such as 25 is the smallest number that is a square number that can be written as the sum of 2 square numbers.*** ( What's Special About This Number?

7. Number Theory - Simple English Wikipedia, The Free Encyclopedia This short article can be made longer. You can help Wikipedia by adding to it. Retrieved from http//simple.wikipedia.org/wiki/number_theory http://simple.wikipedia.org/wiki/Number_theory

Number theory From the Simple English Wikipedia, the free encyclopedia that anyone can change Jump to: navigation search Number theory is a part of mathematics . It explains what (whole) numbers are, and what properties they have. Topics in number theory are: Prime numbers Factorization Important theorems in number theory are: Fundamental theorem of arithmetic Fermat's last theorem Fermat's little theorem This short article can be made longer. You can help Wikipedia by adding to it Retrieved from " http://simple.wikipedia.org/wiki/Number_theory Category Number theory Views Page Talk Change this page History Personal tools Log in / create account Getting around Main Page Community portal Simple talk New changes ... Give to Wikipedia Search Toolbox What links here Related changes Upload file Special pages ... Cite this page In other languages Catal  Česky Cymraeg Dansk ... Vµro This page was last changed on 8 March 2008, at 18:21. This text is available under the terms of the GNU Free Documentation License . (See for details.) Wikimedia Foundation, Inc ., a US-registered 501(c)(3) tax-deductible nonprofit charity ... About Wikipedia

8. Findtarget.com Science/Math/Number_Theory/Tables Findtarget.com delivers comprehensive Science, Math, Number Theory, Tables content to satisfy your Science, Math, Number Theory, Tables needs. http://findtarget.com/FT/Science/Math/Number_Theory/Tables

Web Shopping Articles Local ... Search Engine Marketing Search for: in: All The Internet Images Google Yahoo Altavista Fast Ask Jeeves Lycos MSN Wisenut Hotbot AOL Search Teoma Home Internet Search Directory Shopping Search Local Search ... Search Engine Marketing Tables Home Science Math Tables ... Divisibility Sites in Tables Algorithmic Number Theory: Tables and Links Compiled by Noam Elkies. http://www.math.harvard.edu/~elkies/compnt.html Bernoulli Computations Irregular primes and relative class numbers. Irregular pairs (and Vandiver and cyclotomic residues) for primes up to 8 million. Compiled by Amin Shokrollahi. http://www.shokrollahi.com/amin/TAB.html Carmichael and Perrin The 150 Carmichael numbers out of 246683 up to 10^16 that are Perrin pseudoprimes. http://www.ai.univie.ac.at/carmichael.html Cubic Field Extensions Tables and results on cubic number fields by Daniel A. Mayer. http://www.algebra.at/CubicNumberFields.htm Curves of Genus 2 FTP site maintained by Victor Flynn. Formulae for Jacobian arithmetic and Maple algorithms. ftp://ftp.liv.ac.uk/pub/genus2/

9. Open Dictionary: Top/Mathematics/Number_Theory Add Term Terms. Modify Term Quadratic Reciprocity Theorem hits=1 votes=1 rating=5.0 Quadratic Reciprocity Theorem from MathWorld. Questions? http://quasor.lunarpages.com/~w3k0002/pages/Top/Mathematics/Number_Theory/index.

Home Help Login Logout ... Random Open Dictionary Dedicated to the pursuit of knowledge Advanced Top Mathematics Number Theory Terms Quadratic Reciprocity Theorem [hits=1 votes=1 rating=5.0] : Quadratic Reciprocity Theorem from MathWorld Questions? Bug report? Send email to the Open Dictionary Administrator The Open Dictionary is a World Wide Web of Knowledge (W3K) project.

10. SfR Fresh: [genius-1.0.2.tar.gz] Member Misc.gel (genius-1.0.2/lib/number_th ... From MathWorldA Wolfram Web Resource. http//mathworld.wolfram.com/BernoulliNumber.html SetHelp( BernoulliNumber , number_theory , Return the nth http://fresh.t-systems-sfr.com/unix/privat/genius-1.0.2.tar.gz:a/genius-1.0.2/li

SfR Fresh " - the SfR Freeware/Shareware Archive Member "genius-1.0.2/lib/number_theory/misc.gel" of archive genius-1.0.2.tar.gz As a special service "SfR Fresh" has tried to format the requested source page into HTML format using source code syntax highlighting with prefixed line numbers. Alternatively you can here view or download the uninterpreted source code file. That can be also achieved for any archive member file by clicking within an archive contents listing on the first character of the file(path) respectively on the according byte size field. # Miscellaneous number theory functions function IsNthPower(m,n) = if IsMatrix (m) or IsMatrix (n) then return ApplyOverMatrix2 (m, n, IsNthPower) else if not IsRational (m) then # Only integers/rationals can be perfect powers false else if n == 2 then IsPerfectSquare(m) else if not IsPerfectPower(m) then # We know this won't work false else if IsInteger(m) then IsInteger(m^(1/n)) # Since rational numbers are in reduced form, by unique factorization it # suffices to check if the numerator and denominator are Nth powers else (IsNthPower(Numerator(m),n)) and IsNthPower(Denominator(m),n)

11. Index Of /paper/l/lecture_notes/Mok-Number_Theory . Parent Directory, -. Deformation_of_Galois_representations.......Index of /paper/l/lecture_notes/Moknumber_theory. Name, Last modified, Size, http://www.ajorza.org/paper/l/lecture_notes/Mok-Number_Theory/

Index of /paper/l/lecture_notes/Mok-Number_Theory Name Last modified Size Description ... Deformation_of_Galois_representations.pdf 11-Jan-2007 14:35 Eigenvarieties_of_definite_unitary_groups.pdf 11-Jan-2007 14:35 Hida_theory_for_GL(2)_and_GSp(4).pdf 11-Jan-2007 14:35 p-adic_Banach_representations.pdf 11-Jan-2007 14:35 p-adic_Siegel_modular_forms_Tillouine.pdf 11-Jan-2007 14:35 Apache/2.2.3 (Mandriva Linux/PREFORK-1mdv2007.0) Server at www.ajorza.org Port 80

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Novi upisi Hot Top Nas Izbor ... DIR Search: search the entire directory search this category only Top Science Math Chats and Forums ... Prime Numbers See also: Science: Math: Geometry: Algebraic Geometry This category in other languages: French German Japanese Russian ... Number Theory Web - Things of interest to number theorists collected by Keith Matthews. Active Elementary Number Theory - Interactive (Javascript) expression of a number as a sum of two squares. Application of Digital Root - A test for the terms of a sequence being expressed by a polynomial, by Roupam Ghosh. The Arithmetic Properties of Binomial Coefficients - Activated text by Andrew Granville. The Canadian Number Theory Association - A loosely defined group of individuals, mainly in Canada, active in research in Number Theory. Covers, Sumsets and Zero-sums - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun. Fermat's Little Theorem - With notes on Carmichael numbers and the life of R.D. Carmichael. Frequently Asked Questions - Number Theory section of the sci.math FAQ list. Hakmem Continued Fractions - Some notes from the MIT collection. Includes Gosper's algorithms for CF arithmetic.

13. Top/Science/Math/Number_Theory - Anypages Business Directory It addresses problems about integer and rational numbers. It includes congruences, divisibility, primes, etc. and the famous Fermat Last Theorem. http://www.anypages.com/(S(nsgj3bjdmeenqv45jru5ajeq))/WebListing.aspx?lang=0&cco

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Arts Business Computers Games ... ABOUT Options: Directory Entire Web Top Science Math Number Theory Algebraic Analytic Chats and Forums Computational ... Number Theory Web - Things of interest to number theorists collected by Keith Matthews. http://www.numbertheory.org/ntw/ A Mechanical Proof of Quadratic Reciprocity - A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF. http://www.russinoff.com/papers/gauss.html Klein Polyhedra - Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs. http://keithbriggs.info/klein-polyhedra.html Covers, Sumsets and Zero-sums - A unified approach to covering systems, restricted sumsets and zero-sum problems by Zhi-Wei Sun. http://math.nju.edu.cn/~zwsun/csz.htm Transcendental Numbers - Maple worksheets, lecture notes and links to other resources by John Cosgrove. http://services.spd.dcu.ie/johnbcos/transcendental_numbers.htm Integer Relations - To determine linear integer dependence among numerical constants and to determine the minimal polynomial of an approximate algebraic number. Interactive or via email.

15. Canadaspace.com Science/Math/Number_Theory Canadaspace.com. Canadian Search Engine. Science, Math, Number Theory. http://www.canadaspace.com/CS/Science/Math/Number_Theory

Home Local News Directory ... Resources Search for: in: Canadian Sites All The Internet Images Google Yahoo Altavista Fast Ask Jeeves Lycos MSN Wisenut Hotbot AOL Search Teoma Search Resources Canada Local Search Canadian News Canadian Web Directory Top Canadian Websites ... Canadian Web Resources Number Theory Home Science Math Algebraic ... Tables Sites in Number Theory A Mechanical Proof of Quadratic Reciprocity A paper by David M. Russinoff describing the use of the Boyer-Moore theorem prover in mechanically generating a proof of the Law of Quadratic Reciprocity. PS/PDF. http://www.russinoff.com/papers/gauss.html Active Elementary Number Theory Interactive (Javascript) expression of a number as a sum of two squares. http://www.faust.fr.bw.schule.de/mhb/taupaeng.htm An Introduction to the Theory of Numbers by Leo Moser Textbook covering following topics: compositions and partitions; arithmetic functions; distribution of primes; irrational numbers; congruences; diophantine equations; combinatorial number theory; and geometry of numbers. http://www.trillia.com/moser-number.html

16. PVS: Number_theory - Collection FDL PVS number_theory Collection. Number theory library http://www.nuprl.org/PVS/Libraries/HOMELESS/pvs_r3050.html

FDL PVS : Collection Number theory library - div nt division theory defined for efficiency in PVS div nt alt div defined recursively mod nt mod function divisibility defines divides, lcm gcd defines greatest common divisor primes prime factorization unique factorization prime factorization is unique infinite primes set of primes has infinite cardinality Note: Theories div_nt and div_nat should not be imported at the same time. This is also true for mod_nt and mod_nat. Author: Ricky W. Butler email: *.*.******@****.****.*** Mail Stop 130 fax : (804) 864-xxxx NASA Langley Research Center phone: (804) 864-xxxx Hampton, Virginia 23681-0001 12/11/01 Changed name "sort" to "psort" in "product_perm_lems" to get around bug test infinite primes unique ... nt

17. Number_Theory Math Science Web Directory I-dat.com This is the link directory where you can submit the URL to your homepage. http://www.i-dat.com/Science/Math/Number_Theory/

18. Index Of /index/Science/math/mathematica/Number_Theory . Parent Directory ContinuedFractions.m 26-Jan-1991 0308 3.9K......Index of /index/Science/math/mathematica/number_theory. Name Last modified Size http://www.nic.funet.fi/index/Science/math/mathematica/Number_Theory/

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19. Koders Code Search: Number_theory.py - Python linearsearch.py mergesort.py number_theory.py primes.py quicksort.py randdata.py selectionsort.py number_theory.py The GCD code is taken from http://www.koders.com/python/fid35D9652AE13285D3D6D3155FC59A6DBE9A9E9D69.aspx

Filter: All Languages ActionScript Ada ASP Assembler C C# C++ Cobol ColdFusion Delphi Eiffel Erlang Fortran Java JavaScript JSP Lisp Lua Mathematica Matlab ObjectiveC Perl PHP Prolog Python Ruby Scheme Smalltalk SQL Tcl VB VB.NET All Licenses AFL ASL APSL BSD CPL GTPL GPL LGPL IBMPL IOSL MSCL MSPL MSRL MSVSSDK MITD OSL PSFL SPL WXWLL ZLL ZPL Company About Koders Contact Us News Careers ... Advertise Products Pro Edition Enterprise Edition Plugins Eclipse Visual Studio Browser Widget APIs Koders APIs Support Getting Started Guide Forums Feedback Community Search Open Source Developers Add Projects Blog ... Zeitgeist My Account Join Now! Login Need Developers? Try jobs.koders.com download number_theory.py Language: Python LOC: 24 Project Info pythoned - Python educational code and projects.(pythoned) Server: Google Type: svn Show Code Show Code anagram.py binarysearch.py ... selectionsort.py # number_theory.py # The GCD code is taken from http://modular.fas.harvard.edu/ent/ent_py def gcd a b ""

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