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Topic: List of number theory topics

Related Topics

Prime number

Number theory

Composite number

List of algebraic number theory topics

Champernowne constant

Integer factorization

Magic square

Prime factorization algorithm

Additive function

Paul Erdos

Unique prime

Factorization

Table of divisors

Linear congruence theorem

Leonhard Euler

	Number theory - Wikipedia, the free encyclopedia
		Traditionally, number theory is that branch of pure mathematics concerned with the properties of integers.
		Number theory may be subdivided into several fields, according to the methods used and the type of questions investigated.
		In algebraic number theory, the concept of number is expanded to the algebraic numbers which are roots of polynomials with rational coefficients.
	en.wikipedia.org /wiki/Number_theory (1363 words)

	NUMBER THEORY FACTS AND INFORMATION (Site not responding. Last check: 2007-10-08)
		In algebraic number theory, the concept of number is expanded to the algebraic_numbers which are roots of polynomials with rational coefficients.
		In the theory of ternary forms Eisenstein has been a leader, and to him and H._J._S._Smith is also due a noteworthy advance in the theory of forms in general.
		Gauss conjectured the limit of the number of primes not exceeding a given number (the prime_number_theorem) as a teenager.
	www.witwib.com /number_theory (1206 words)

	11: Number theory
		Number theory is one of the oldest branches of pure mathematics, and one of the largest.
		For example, "additive number theory" asks about ways of expressing an integer N as a sum of integers a_i in a set A. If we set f(z) = Sum exp(2 pi i a_i z), then f(z)^k has exp(2 pi i N z) as a summand iff N is a sum of k of the a_i.
		Questions in algebraic number theory often require tools of Galois theory; that material is mostly a part of 12: Field theory (particularly the subject of field extensions).
	www.math.niu.edu /~rusin/known-math/index/11-XX.html (2572 words)

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		Number theory may be subdivided into several fields according to the methods used and the questions investigated.
		The theory of numbers, a favorite study among the ancient Greeks, had its renaissance in the sixteenth and seventeenth centuries in the labors of Viète,
		Riemann (1859) conjectured the limit of the number of primes not exceeding a given number (the prime number theorem), introduced complex analysis into the theory of the
	en-cyclopedia.com /wiki/Number_theory (955 words)

	Number theory - Encyclopedia.WorldSearch (Site not responding. Last check: 2007-10-08)
		Finally, computational number theory studies algorithms relevant in number theory.
		The authors present the theory in a concise and straightforward manner, with an eye out for the practical applications.
		They were the basis of the slide rule that was the totemic wand of the trade, listed in huge books consulted in every library.
	encyclopedia.worldsearch.com /number_theory.htm (1400 words)

	Number Theory - Advanced Topics in Mathematics at CCHS
		Number Theory is a branch of mathematics that goes back to the Pythagoreans in the 5th century B.C. that studies the properties of the whole numbers.
		The field of Number Theory, as with many fields in mathematics, began as an abstract exercise and eventually found countless applications in the modern world.
		The first perfect number is 6 because 1+2+3=6 and 1,2, and 3 are all the proper factors of 6.
	mail.colonial.net /~abeckwith/numthry.html (788 words)

	[WikiEN-l] Long pages
		Well, what most concerns me is that some of the comments posted here could start an 'urban myth' that lists have had their day, their only current use is as pathfinders for those adding categories, and that the correct thing is to treat lists as 'to do' things for the categories.
		Of course some lists are neglected - as are some pages, and some whole areas of WP with too little editorial support.
		And doesn't encourage me. To take something on my mind- one day I might move the magic square topics off [[list of number theory]] topics to their own list.
	mail.wikipedia.org /pipermail/wikien-l/2004-June/013749.html (213 words)

	Basic Library List-Number Theory
		Manin, Yuri and Panchishkin, A. Number Theory: Introduction to Number Theory.
		An Introduction to the Analytic Theory of Numbers.
		Cassels, J.W. An Introduction to the Geometry of Numbers.
	www.maa.org /BLL/numtheory.htm (793 words)

	Book Catalogues List (Site not responding. Last check: 2007-10-08)
		Phone numbers are supplied "as is." Especially when phoning to another country, you will have to verify the proper prefix codes that you must dial.
		The list has grown beyond my ability to list all of them in a timely matter and I no longer post it to rec.arts.books, but your contributions remain appreciated, and will be added as time permits.
		Vonda N. McIntyre periodically posts a list of authors who will snail-mail out their books upon request, including with inscriptions, etc. The list is currently available in one of two ways: anonymous ftp to rtfm.mit.edu in the file /pub/usenet/news.answers/books/basement-full-of-books.
	www.io.com /~tittle/books/catalogues.html (11494 words)

	The Math Forum - Math Library - Number Theory
		Papers from a Mathematics graduate from The University Of Sussex at Brighton: Number Theory: GCD and Prime Factorisation; Molien's Theorem, Invariant Theory and Gregor Kemper; A History of Equality.
		In number theory, straightforward, reasonable questions are remarkably easy to ask, yet many of these questions are surprisingly difficult or even impossible to answer.
		A connected series of four problems in elementary number theory that are ideal for discovery learning at several levels.
	mathforum.org /library/topics/number_theory (2139 words)

	An Introduction to the Theory of Numbers - Number Theory Text by Leo Moser - The Trillia Group
		Topics include: Compositions and Partitions; Arithmetic Functions; Distribution of Primes; Irrational Numbers; Congruences; Diophantine Equations; Combinatorial Number Theory; and Geometry of Numbers.
		Check our list of site licenses to see whether you are a member of a group that has purchased a site license.
		Errata: There is a list of errata that records changes made to the text since the version of March 1, 2004.
	www.trillia.com /moser-number.html (525 words)

	VPIEJ-L 4/95
		Recognizing the breadth that library and information science encompasses, submissions may cover a wide variety of topics in the field, and be represented in many forms: research findings and their application, analysis of policies and practices within the industry, thematic textual review, to name but a few.
		Publishers quote numbers approximating 70% for the residue of fixed costs left to be coped with even if costs of printing/binding/distribution at 0 with such regularity as to give pause.
		Topics include distributed IR and the Internet, efficiency techniques, text summarization, natural language processing, fusion strategies, user studies, search interfaces, and education in IR.
	scholar.lib.vt.edu /ejournals/vpiej-l/vpiej-l.log9504.html (9351 words)

	Number Theory Glossary
		A Carmichael Number is a composite number which passes the Fermat pseudoprime test for all bases.
		A number which is not composite is called prime.
		A prime number is a number which has no factors other than 1 (called non-trivial factors).
	www.math.umbc.edu /~campbell/NumbThy/Glossary.html (946 words)

	Evidence-Based Medicine
		There are a number of journals currently available which are specific or very relevant to evidence-based health care and these now also cover subjects, such as nursing, mental health and purchasing.
		This is a list of the trials which qualify as evidence that changed practice, according to the opinion of members of the Evidence-Based Discussion Group.
		There are over 1000 ongoing clinical trials listed and they show the study title, a summary, the sponsoring institute and the patient characteristics needed for enrollment.
	www.herts.ac.uk /lis/subjects/health/ebm.htm (13463 words)

	Directory of Electronic Journals and Newsletters (Site not responding. Last check: 2007-10-08)
		I have also listed partial entries in the interest of providing the reader with the maximum of available information (these incomplete entries will be marked as such).
		The PACS Forum is a moderated Bitnet list that deals with all computer systems that libraries make available to their users, and it currently has over 1,100 subscribers in 25 countries.
		After you are notified that you are on the list, subsequent postings to the list should be sent to: psyc@pucc.bitnet or psyc@pucc.princeton.edu or psyc@phoenix.princeton.edu which will redirect them to the list's editors, who will post them for you if they are judged appropriate.
	www.bilkent.edu.tr /pub/DataSources/Journals.html (10909 words)

	Encyclopedia: List of number theory topics (Site not responding. Last check: 2007-10-08)
		People who viewed "List of number theory topics" also viewed:
		Other descriptions of List of number theory topics
		Click for other authoritative sources for this topic (summarised at Factbites.com).
	www.nationmaster.com /encyclopedia/List-of-number-theory-topics (128 words)

	MP313 NUMBER THEORY III (Site not responding. Last check: 2007-10-08)
		(For an outline of what number theory is all about, see Dave Rusin's Mathematical Atlas).
		A Concise Introduction to the Theory of Numbers, A. Baker, CUP 1985
		Number Theory: an Introduction, D. Redmond, Pure and Applied Mathematics Series 201, Marcel Dekker 1996
	www.numbertheory.org /courses/MP313 (387 words)

	Number theory files for David Eppstein
		Conway's nimbers (used in combinatorial game theory) form an infinite field of characteristic two, with a natural binary representation in which truncation to a fixed number of bits produces finite subfields GF[2^2^k].
		The p-adic numbers, much beloved of a certain net.crackpot, can be thought of as describing arithmetic modulo powers of p^k, in the limit as k becomes large.
		If one interprets (x,y) as the complex number (Gaussian integer) x+iy, the form (x^2+y^2) is its norm, and we can form similar pictures by using norms of other rings.
	www.ics.uci.edu /~eppstein/numth (464 words)

	NEW LISTINGS, NUMBER THEORY WEB (Site not responding. Last check: 2007-10-08)
		List of USA mathematics departments (corrected and expanded version of the American Math.
		Theory of motives, homotopy theory of varieties and dessins d'enfants, April 23-26, 2004, American Institute of Mathematics, Palo Alto, California
		Number Theory Conference in honour of Harold Stark, August 5-7, 2004, University of Minnesota, Minneapolis
	www.numbertheory.org /ntw/additions.html (3939 words)

	List of number theory topics Article, Listnumbertheorytopics Information (Site not responding. Last check: 2007-10-08)
		List of number theory topics Article, Listnumbertheorytopics Information
		(listnumbertheorytopics,list number theory topics,listnumber theory topics,list numbertheory topics,list number theorytopics)
		NB Listing here is not pejorative, since many famoustopics in number theory have origins in challenging problems posed purely for their own sake.
	www.anoca.org /prime/theorem/list_of_number_theory_topics.html (114 words)

	Electronic Journals
		Any topic that might be of interest to the readership is welcome.
		Back issues are kept for six months, and files on specific topics that have been discussed are available, also by request from the editor.
		All topics relating to the general area of human communication are welcome.
	www.heise.de /ix/raven/Literature/Journals/ElJournals.html (15140 words)

	Mathematics Archives - Topics in Mathematics - Number Theory
		Elementary Number Theory, Lucas' Theorem, Pascal's triangle via cellular automata, Bernoulli numbers and polynomials, Theorems of Morley and Emma Lehmer and their generalizations, Some useful p-adic numbers
		Divisibility and primes, Euclidean algorithm, Euler's theorem, Representation of numbers, Bertrand's postulate
		Sieve of Eratosthenes, Prime Twins, Goldbach Conjecture, Prime Number Theorem
	archives.math.utk.edu /topics/numberTheory.html (675 words)

	Third year (Site not responding. Last check: 2007-10-08)
		David Joyner (Editor, and Organiser of the United States Naval Academy Conference on Coding Theory, Cryptography, and Number Theory, 1998), Coding Theory and Cryptography: From Enigma and Geheimschreiber to Quantum Theory, Springer-Verlag, 2000, 124-143.
		Aviel D.Rubin (formerly) of ATandT Labs-Research and New York University Computer Science Department maintains a List of crytpo and security courses from the USA, through Ireland, and ending in the UK.
		A (very brief) history of cryptography, aimed at creating a familiarity with the terms plain and ciphertext, encryption, decryption, and digital signature, and an understanding of the crucial difference between private-key and public-key cryptography.
	www.spd.dcu.ie /johnbcos/Courses_3rd_year.htm (320 words)

	Open Directory - Science: Math: Number Theory: Publications (Site not responding. Last check: 2007-10-08)
		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.
		Research papers by János A. Csirik - Papers on Number Theory and Cryptology (PDF).
	dmoz.org /Science/Math/Number_Theory/Publications (126 words)

	Super-Index of Topics from the Theory of Number
		This index was automatically generated using a new tagging program written by Simon Plouffe at the CECM, Simon Fraser University.
		These are comprehensive indices of the items cited in the given paper/book/list.
		For each word a number of documents are identified that may lead you to relevant information.
	www.cecm.sfu.ca /organics/papers/bailey/paper/html/superGrosswald.html (76 words)

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