Editing Collatz conjecture (section)

==References==
{{Reflist|30em|refs=

<ref name="Lagarias (1985)">{{cite journal |first=Jeffrey C. |last=Lagarias |title=The 3''x'' + 1 problem and its generalizations |journal=[[The American Mathematical Monthly]] |volume=92 |issue=1 |pages=3–23 |year=1985 |jstor=2322189|doi=10.1080/00029890.1985.11971528 }}</ref>
<!--<ref name="Lagarias (2001)">{{SpringerEOM | urlname=S/s110330 | title=Syracuse problem | author=Jeffrey C. Lagarias}}.</ref>-->
<ref name="Chamberland (1996)">{{cite journal |first=Marc |last=Chamberland |title=A continuous extension of the 3''x''&nbsp;+&nbsp;1 problem to the real line |journal=Dynam. Contin. Discrete Impuls Systems |volume=2 |issue=4 |pages=495–509 |year=1996 }}</ref>
<ref name="Garner (1981)">{{cite journal |last=Garner |first=Lynn E. |year=1981 |title=On the Collatz 3''n''&nbsp;+&nbsp;1 algorithm |journal=[[Proceedings of the American Mathematical Society]] |volume=82 |issue=1 |pages=19–22 |doi=10.1090/S0002-9939-1981-0603593-2 |doi-access=free |jstor=2044308}}</ref>
<ref name="Hercher (2023)">{{cite journal |first1=C. |last1=Hercher |title=There are no Collatz ''m''-cycles with ''m <= 91'' |journal=Journal of Integer Sequences |volume=26 |issue=3 |pages=Article 23.3.5 |year=2023 |url=https://cs.uwaterloo.ca/journals/JIS/VOL26/Hercher/hercher5.pdf}}</ref>
<ref name="Letherman, Schleicher, and Wood (1999)">{{cite journal |first1=Simon |last1=Letherman |first2=Dierk |last2=Schleicher |first3=Reg |last3=Wood |title=The (3''n''&nbsp;+&nbsp;1)-problem and holomorphic dynamics |journal=Experimental Mathematics |volume=8 |issue=3 |pages=241–252 |year=1999 |doi= 10.1080/10586458.1999.10504402}}</ref>
<ref name="Eliahou (1993)">{{Cite journal|last=Eliahou|first=Shalom|year=1993|title=The 3''x'' + 1 problem: new lower bounds on nontrivial cycle lengths|journal=Discrete Mathematics|volume=118|issue=1|pages=45–56|doi=10.1016/0012-365X(93)90052-U|doi-access=free}}</ref>
<!--<ref name="Andrei (1998)">{{cite journal |author1=Andrei, Stefan |author2=Masalagiu, Cristian |doi=10.1007/s002360050117 |title=About the Collatz conjecture |year=1998 |journal=Acta Informatica |volume=35 |issue=2 |pages=167–179}}</ref>-->
<!--<ref name="Van Bendegem (2005)">{{cite journal |first=Jean Paul |last=Van Bendegem |title=The Collatz Conjecture: A Case Study in Mathematical Problem Solving |journal=Logic and Logical Philosophy |volume=14 |pages=7–23 |year=2005 |doi= 10.12775/llp.2005.002|url=https://compmath.files.wordpress.com/2008/08/jpvb_collatz.pdf |archive-url=https://ghostarchive.org/archive/20221009/https://compmath.files.wordpress.com/2008/08/jpvb_collatz.pdf |archive-date=2022-10-09 |url-status=live |format=PDF}}</ref>-->
<!--<ref name="Belaga (2006)">{{cite book |first=Edward G. |last=Belaga |last2=Mignotte |first2=Maurice |chapter=Walking Cautiously into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly |chapter-url=http://www-irma.u-strasbg.fr/~belaga/a8*BelagaMathInfo06Presentation060920.ppt |format=PowerPoint |title=Fourth Colloquium on Mathematics and Computer Science : Algorithms, Trees, Combinatorics and Probabilities, September 18–22, 2006, Institut Élie Cartan, Nancy, France }}</ref>-->
<ref name="Belaga (1998a)">{{cite journal |first1=Edward G. |last1=Belaga |last2=Mignotte |first2=Maurice |title=Embedding the 3x+1 Conjecture in a 3x+d Context |journal=Experimental Mathematics |volume=7 |issue=2 |year=1998 |pages=145–151 |doi=10.1080/10586458.1998.10504364 |s2cid=17925995 |url=http://www.emis.de/journals/EM/expmath/volumes/7/7.html}}</ref>-->
<ref name="Steiner (1977)">{{cite book |first=R. P. |last=Steiner |chapter=A theorem on the syracuse problem |title=Proceedings of the 7th Manitoba Conference on Numerical Mathematics |year=1977 |pages=553–9 |mr=535032}}</ref>
<ref name="Simons & de Weger (2005)">{{cite journal |first1=J. |last1=Simons |first2=B. |last2=de Weger |title=Theoretical and computational bounds for ''m''-cycles of the 3''n''&nbsp;+&nbsp;1 problem |journal=Acta Arithmetica |volume=117 |issue=1 |pages=51–70 |year=2005 |doi=10.4064/aa117-1-3 |url=http://deweger.xs4all.nl/papers/[35]SidW-3n+1-ActaArith[2005].pdf |bibcode=2005AcAri.117...51S |doi-access=free |access-date=2023-03-28 |archive-date=2022-03-18 |archive-url=https://web.archive.org/web/20220318094356/http://deweger.xs4all.nl/papers/&#91;35&#93;SidW-3n+1-ActaArith&#91;2005&#93;.pdf |url-status=bot: unknown }}</ref>
<ref name="Terras (1976)">{{cite journal | last = Terras | first = Riho | year = 1976 | title = A stopping time problem on the positive integers | journal = Acta Arithmetica | mr = 0568274 | volume = 30 | issue = 3 | pages = 241–252 | url = http://matwbn.icm.edu.pl/ksiazki/aa/aa30/aa3034.pdf | doi=10.4064/aa-30-3-241-252| doi-access = free }}</ref>
<!--<ref name="Sinyor (2010)">Sinyor, J.; [http://downloads.hindawi.com/journals/ijmms/2010/458563.pdf "The 3x+1 Problem as a String Rewriting System"], ''International Journal of Mathematics and Mathematical Sciences'', volume 2010 (2010), Article ID 458563, 6 pages.</ref>-->

<!--<ref name="Belaga (1998b)">{{cite paper | author1-link = Edward Belaga | author1-last = Belaga | author1-first = Edward G. | citeseerx = 10.1.1.54.483 | title = Reflecting on the 3x+1 Mystery | publisher = [[University of Strasbourg]] | date = 1998 }}</ref>
<ref name="Bruschi (2008)">{{cite arXiv |author=Bruschi, Mario |eprint=0810.5169 |title=A generalization of the Collatz problem and conjecture |class=math.NT |year=2008}}</ref>
<ref name="De Mol (2008)">{{cite journal | last = De Mol | first = Liesbeth | title = Tag systems and Collatz-like functions | journal = Theoretical Computer Science | volume = 390 | issue = 1 | pages =92–101 | date = January 2008 | url = http://logica.ugent.be/liesbeth/TagColOK.pdf | doi=10.1016/j.tcs.2007.10.020}}</ref>
<ref name="Lagarias (2006)">{{cite arXiv |author=Jeffrey C. Lagarias |eprint=math.NT/0608208 |title=The 3''x''&nbsp;+&nbsp;1 problem: An annotated bibliography, II (2000–) |class=math.NT |year=2006}}</ref>
<ref name="Ohira">{{cite paper | last1 = Ohira | first1 = Reiko | last2 = Yamashita | first2 = Michinori | url = http://risweb2.ris.ac.jp/faculty/earth_env/yamasita/open/p-col.pdf | title = A generalization of the Collatz problem | language = ja }}</ref>
<ref name="Sinisalo (2003)">{{cite paper | first = Matti K. | last = Sinisalo | archive-date = 2009-10-24 | archive-url = https://web.archive.org/web/20091024183537/http://geocities.com/mattiksinisalo/collatz.doc | url = http://geocities.com/mattiksinisalo/collatz.doc | title = On the minimal cycle lengths of the Collatz sequences | date = June 2003 | publisher = University of Oulu }}</ref>
<ref name="Stadfeld">{{cite paper | first = Paul | last = Stadfeld | url = http://home.versatel.nl/galien8/blueprint/blueprint.html | title = Blueprint for Failure: How to Construct a Counterexample to the Collatz Conjecture }}</ref>
<ref name="Urata">{{cite paper | last = Urata | first = Toshio | url = http://auemath.aichi-edu.ac.jp/~turata/Fall.files/CTZVI.pdf | archive-url = https://web.archive.org/web/20041128171946/http://auemath.aichi-edu.ac.jp/~turata/Fall.files/CTZVI.pdf | url-status = dead | archive-date = 2004-11-28 | title = Some Holomorphic Functions connected with the Collatz Problem }}</ref>-->

<!--<ref name="Everest (2003)">{{cite book | last1=Everest | first1=Graham | last2=van der Poorten | first2=Alf | author2-link=Alfred van der Poorten | last3=Shparlinski | first3=Igor | last4=Ward | first4=Thomas | title=Recurrence sequences | series=Mathematical Surveys and Monographs | volume=104 | location=[[Providence, RI|Providence]], Rhode Island, USA | publisher=[[American Mathematical Society]] | year=2003 | isbn=0-8218-3387-1 | zbl=1033.11006 | at=Chapter 3.4 }}</ref>-->
<ref name="Guy (2004)">{{cite book |last=Guy | first=Richard K. | author-link=Richard K. Guy | title=Unsolved Problems in Number Theory | publisher=[[Springer-Verlag]] |edition=3rd | year=2004 |isbn=0-387-20860-7 | zbl=1058.11001 | chapter="E16: The 3x+1 problem" |pages=330–6 |chapter-url=https://books.google.com/books?id=1AP2CEGxTkgC&pg=PA330}}</ref>
<ref name="Lagarias (2010)">{{cite book |editor1-last=Lagarias |editor1-first=Jeffrey C. |editor1-link=Jeffrey Lagarias |year=2010 |title=The Ultimate Challenge: The 3''x'' + 1 Problem |publisher=[[American Mathematical Society]] |isbn=978-0-8218-4940-8 |zbl=1253.11003}}</ref>
}}