logo pages de liens

UniversitySurf.net
Votre portail e-Learning
CultureMATH
ENSup. et Minist. EN
Séminaire MaMuX
Mathématiques, musique et relations avec d'autres disciplines

  

3x+1, Collatz, Syracuse Problem



Bas de page

3x+1 problem applet


Cliquer l'intérieur du cadre de l'applet pour changer d'élément.

Voir aussi la Page d'origine de l'applet (Paragraphe DEMOS)


PAGES WEB

<http://www.multimania.com/ericmer/syracuse/syracuse.htmLa conjecture de Syracuse>
Jeff Lagarias AT&T Bell Laboratories Murray Hill, New Jersey
<http://www.cecm.sfu.ca/organics/papers/lagarias/index.html>
Tomás Oliveira e Silva Computational projects
<http://www.ieeta.pt/~tos/3x+1.html>
By Eric Roosendaal
<http://oldpersonal.computrain.nl/eric/wondrous/index.html>
This index was automatically generated using a new tagging program written by Simon Plouffe at the CECM, Simon Fraser University.
<http://www.cecm.sfu.ca/organics/papers/lagarias/paper/html/superLagarias.html>
Ilan Vardi
<http://www.mathsource.com/Content/Applications/Mathematics/0200-305> <http://www.astro.virginia.edu/~eww6n/math/CollatzProblem.html> <http://www.math.grin.edu/~chamberl/3x.html>
Evans A Criswell
<http://mickey.cs.uah.edu/~criswell/collatz.html>
By Eric Roosendaal
<http://194.178.35.44/eric/wondrous/index.html> <http://abel.math.umu.se/~frankw/unsolved.html> <http://seawolf.uofs.edu/~monks/fsrp.html> <http://www.numbertheory.org/3x+1/> <http://www.ug.cs.dal.ca/~campbell/collatz.html>
By M.Najtiv
<http://www8.pair.com/mnajtiv/halt/halt.html>
Ken Conrow
<http://www-personal.ksu.edu/~kconrow/index.html>

precsuivant

MATHÉMATIQUES - MATHEMATICS

Worksheet created by Michael Monagan, Text taken from Collatz.tex, Gaston H. Gonnet, Informatik E.T.H. Zurich, Switzerland
<http://www.mapleapps.com/categories/mathematics/numbertheory/html/collatz.html>
Ilan Vardi
<http://mathsource.wri.com/MathSource22/Applications/Mathematics/0200-305/Collatz.m>

precsuivant

DEMOS

échelle logarithmique et/ou séquences courtes possibles
<http://perso.wanadoo.fr/jean-paul.davalan/divers/syracuse/index.html> <http://mathstat.math.carleton.ca/~amingare/mathzone/3n+1.html>
Hailstone Evaluator
<http://pass.maths.org.uk/issue1/xfile/index.html>
An interactive column using Java applets by Alex Bogomolny
<http://www.cut-the-knot.com/ctk/March2001.html>

precsuivant

IMAGES

By Andrew Shapira
<http://www.cs.rpi.edu/~shapiraa/collatz.html> <http://www.geocities.com/CapeCanaveral/Lab/4430/collatz.html>

precsuivant

LOGICIELS - SOFTWARES

Selmer Bringsjord
<http://www.rpi.edu/~brings/locker/collatz.lisp>

precsuivant

JAVA

<http://cs.stmarys.ca/~dawson/Abacus.html>

precsuivant

DONNÉES - DATAS

Evans A Criswell
<http://home.hiwaay.net/~criswell/math/collatz.html>

precsuivant

LIVRES - BOOKS

by Richard K. Guy
<http://www.amazon.com/exec/obidos/ISBN%3D0387942890/ericstreasuretroA/002-6234887-4574852>

precsuivant

DOCUMENTS - PAPERS

<http://www.cs.unb.ca/~alopez-o/math-faq/node61.html> <http://academic.uofs.edu/faculty/monks/fsrp.html>
Research Directed by Gary T. Leavens
<http://www.cs.iastate.edu/~leavens/main.html#3x+1>
Gary T. Leavens
This report describes the design of a distributed program that searched for peaks in certain measures related to the 3x+1 problem. The searches for peaks in the number of steps taken, the maximum value reached, and the number of steps before the values of the iterates fall below the starting value exhibit a great deal of parallelism, but there is also some small amount of synchronization necessary.
<ftp://ftp.cs.iastate.edu/pub/techreports/TR89-22/TR.ps.Z>
by Gary T. Leavens and Mike Vermeulen
<http://archives.cs.iastate.edu/documents/disk0/00/00/00/12/index.html> <http://www.cs.iastate.edu/tech-reports/catalog.html> <http://www.cecm.sfu.ca/organics/papers/lagarias/paper/html/> <http://cecm.sfu.ca/organics/papers/lagarias/paper/html/anhtml/node1-an2.sec>
Ioannis Galidakis
<http://users.forthnet.gr/ath/jgal/math/problem.html> <http://pckoenig1.mathematik.tu-muenchen.de/~dierk/3n+1.pub.ps>
by Dave Rusin Math Atlas
<http://www.math.niu.edu/~rusin/papers/known-math/index/03-XX.html>
Berg, Lothar
This paper reports on some functional equations, which arise in connection with the famous 3n+1 Collatz problem. In particular, it reports on two analytic versions of the corresponding Collatz conjecture, which are contained in [1]
<ftp://ftp.math.uni-rostock.de/pub/romako/heft48/berg2.ps.Z>
Stefan Andrei, Manfred Kudlek and Radu Niculescu Stefan B-217 May 28, 1999
<http://medoc.informatik.uni-hamburg.de/Dienst/UI/2.0/Describe/ncstrl.uhamburg_cs%2FB-217>
found by Maurice Margenstern and Yuri Matiyasevich Published in Acta Arithmetica, XCI.4, 1999, 367-378
<http://www.informatik.uni-stuttgart.de/ifi/ti/personen/Matiyasevich/Journal/jcontord.htm>
Peter Schorer and Michael O'Neill September 5, 2001
<http://www.occampress.com/final2.pdf>
Andrew Granville 1996
<http://www.cecm.sfu.ca/cgi-bin/organics/doc_vault/name=paper+access_path=papers/granville/vault>
Edouard Belaga,Maurice Mignotte May 2000
Reflecting on the 3x+1 Mystery. Outline of a Scenario. Effective Polynomial Upper Bounds to Perigees and Numbers of $(3x+d)-$Cycles of a Given Oddlength.
<http://www-irma.u-strasbg.fr/irma/publications/2000/00018.shtml>
Keith Matthews survey (pdf), programs, results ...
<http://www.numbertheory.org/ntw/N4.html#3x+1>
Paul J Andaloro Kent State University
<http://www.math.grin.edu/~chamberl/conference/papers/anda.ps>
J.L. (John) Simons Professor of Information Systems Groningen
For an overview of the recent developments, see an intended 2009 Mathfest presentation /staff/j.l.simons/recdevslides.pdf [PDF] .
<http://www.rug.nl/staff/j.l.simons/research>

precsuivant

RÉSUMÉS - ABSTRACTS

Murad A. AlDamen
<http://atlas-conferences.com/c/a/f/t/16.htm>
Stefan Andrei, Cristian Masalagiu
<http://link.springer-ny.com/link/service/journals/00236/bibs/8035002/80350167.htm>

precsuivant

JOURNAUX - LETTERS

An International Journal
<http://www.elsevier.com:80/inca/publications/store/3/0/1/>

precsuivant

TUTORIELS - TUTORIALS - TUTORS

Jeffrey C. Lagarias
<http://www.cecm.sfu.ca/organics/papers/lagarias/paper/html/paper.html>

precsuivant

ARTICLES

<http://www.bms.com.mt/archive/iss22/num08.htm>

precsuivant

CONFÉRENCES - MEETINGS

August 5-6, 1999 Katholische Universität Eichstätt, GERMANY
<http://www.math.grinnell.edu/~chamberl/conf.html>

precsuivant

HISTORIQUES - HISTORY

by Marion Meudt and John Read
<http://www.cecm.sfu.ca/organics/papers/lagarias/paper/goodies/ubersetzung/html/ubersetzung.html>

precsuivant

ARTS

Mike Keith
... To bring this into the range of a musical melody, we pass each number through the following function: f(n) = [ (10/3) log10(n) ] ... These numbers are interpreted as notes in the 7-tone major scale, with 0=root, 1=next note, etc.
<http://user.aol.com/s6sj7gt/hailmus.htm>

precsuivant

RÉFÉRENCES - BIBLIOGRAPHIES

<http://felix.unife.it/Root/d-Mathematics/d-Number-theory/b-3x+1> <http://ug.cs.dal.ca/~campbell/collrefs.html>
Jeffrey C. Lagarias
arXiv:math/0608208v3 This paper is an annotated bibliography of work done on the 3x+1 problem published from 2001 onward. This is a sequel to an annotated bibliography on the 3x+1 problem covering 1963-2000 >. At present the 3x+1 Conjecture remains unsolved.
<http://arxiv.org/abs/math/0608208>

precsuivant

QUESTIONS - FAQ

<http://www.cs.unb.ca/~alopez-o/math-faq/math-faq.html> <http://www.faqs.org/faqs/sci-math-faq/unsolvedproblems/>

precsuivant

GROUPES DE DISCUSSION - NEWS

by David Bernier
<http://forum.swarthmore.edu/epigone/sci.math/zandbape>
Danny Calegari
< http://www.math.niu.edu/~rusin/papers/known-math/96/halting>
Dave Rusin
<http://www.math.niu.edu/~rusin/known-math/98/collatz_mine>
Dave Rusin
<http://www.math.niu.edu/~rusin/known-math/98/collatz_catalan>

precsuivant

LIENS - LINKS

<http://ug.cs.dal.ca/~campbell/colllink.html>
This page is a collection of links on research articles on elliptic curves and related topics (applications, modular forms, FLT).
<http://www.math.jussieu.fr/~fermigie/elliptic.html.en> <http://www.altavista.com/cgi-bin/query?pg=q&what=web&fmt=.&q=%223x+1+Problem%22> <http://www.geometry.net/Theorems_and_Conjectures/Collatz_Problem.htm>

 haut de page











Advertising :   If you see a reference in one of the files that is not linked, and you know of a link address to the appropriate document, please send me mail, and I will include the link in the document. Thanks very much in advance.
Avertissement :    Le classement par catégories est approximatif. Certains liens se retrouvent dans des rubriques différentes et sur plusieurs pages. Les commentaires sont généralement des courts extraits des pages référencées. Il est possible que certains liens nécessitent une mise à jour.
Tous commentaires ou remarques sont les bienvenus, vous pouvez les adresser à :
écrire

Les mises à jour demandées sont réalisées dès que possible et, sauf si c'est nécessaire, aucun message de réponse n'est expédié. Merci de m'écrire.

Copyright © 1999-2012 Jean-Paul Davalan - Reproduction interdite.