Editing Transcendental number (section)

==Sources==
{{refbegin|colwidth=25em|small=yes}}

*{{cite journal
 | last1=Adamczewski | first1=Boris
 | last2=Bugeaud     | first2=Yann
 | year=2005
 | title=On the complexity of algebraic numbers, II. Continued fractions
 | journal=[[Acta Mathematica]]
 | volume=195 | issue=1 | pages=1–20
 | doi=10.1007/BF02588048 | arxiv=math/0511677
 | bibcode=2005math.....11677A | s2cid=15521751
}}
*{{cite book
 | last1=Allouche | first1=J.-P. | author1-link=:fr:Jean-Paul Allouche
 | last2=Shallit  | first2=J.    | author2-link=Jeffrey Shallit
 | year=2003
 | title=Automatic Sequences: Theory, applications, generalizations
 | publisher=[[Cambridge University Press]]
 | zbl=1086.11015  | isbn=978-0-521-82332-6
}}
*{{cite book
 | last=Baker | first=A. | author-link=Alan Baker (mathematician)
 | year=1990
 | title=Transcendental Number Theory  | edition=paperback
 | publisher=[[Cambridge University Press]]
 | isbn=978-0-521-20461-3  | zbl=0297.10013
}}
*{{cite journal
 | last1=Blanchard     | first1=André
 | last2=Mendès France | first2=Michel
 | year=1982
 | title=Symétrie et transcendance
 | journal=Bulletin des Sciences Mathématiques
 | volume=106 | issue=3 | pages=325–335
 | mr=680277
}}
*{{cite book
 | last=Bourbaki | first=N. |author-link=Nicolas Bourbaki 
 | year=1994
 | title=Elements of the History of Mathematics
 | publisher=Springer
 | isbn=9783540647676
 | url=https://archive.org/details/elementsofhistor0000bour
 | url-access=registration |via=Internet Archive
}}
*{{cite book
 | last=Bugeaud | first=Yann
 | year=2012
 | title=Distribution modulo one and Diophantine approximation
 | series=Cambridge Tracts in Mathematics  | volume=193
 | publisher=[[Cambridge University Press]]
 | isbn=978-0-521-11169-0 | zbl=1260.11001
}}
*{{cite book
 | last1=Burger | first1=Edward B.
 | last2=Tubbs  | first2=Robert
 | year=2004
 | title=Making transcendence transparent. An intuitive approach to classical transcendental number theory
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-0-387-21444-3 | zbl=1092.11031
}}
*{{cite book
 | last=Calude | first=Cristian S.
 | year=2002
 | title=Information and Randomness: An algorithmic perspective
 | edition=2nd rev. and ext.
 | series=Texts in Theoretical Computer Science
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-3-540-43466-5 | zbl=1055.68058
}}
*{{cite journal
 | last=Cantor | first=G. | author-link=Georg Cantor
 | year=1874
 | title=Über eine Eigenschaft des Inbegriffes aller reelen algebraischen Zahlen
 | journal=[[J. Reine Angew. Math.]]
 | volume=77 | pages=258–262
 | url=http://www.digizeitschriften.de/main/dms/img/?PPN=GDZPPN002155583
}}
*{{cite journal
 | last=Cantor | first=G. | author-link=Georg Cantor
 | year=1878
 | title=Ein Beitrag zur Mannigfaltigkeitslehre
 | journal=[[J. Reine Angew. Math.]]
 | volume=84 | pages=242–258
 | url=http://www.digizeitschriften.de/dms/img/?PPN=PPN243919689_0084&DMDID=dmdlog15
}}
*{{cite book
 | last=Chudnovsky | first=G.V. | author-link=Chudnovsky brothers
 | year=1984
 | title=Contributions to the Theory of Transcendental Numbers
 | publisher=[[American Mathematical Society]]
 | isbn=978-0-8218-1500-7
}}
*{{cite journal
 | last1=Davison | first1=J. Les
 | last2=Shallit | first2=J.O.    | author2-link=Jeffrey Shallit
 | year=1991
 | title=Continued fractions for some alternating series
 | journal=[[Monatshefte für Mathematik]]
 | volume=111 | issue=2 | pages=119–126
 | doi=10.1007/BF01332350 | s2cid=120003890
}}
*{{cite journal
 | last1=Erdős  | first1=P. | author1-link=Paul Erdős
 | last2=Dudley | first2=U. | author2-link=Underwood Dudley
 | year=1983
 | title=Some Remarks and Problems in Number Theory Related to the Work of Euler
 | journal=Mathematics Magazine
 | volume=56 | issue=5 | pages=292–298
 | jstor=2690369 | doi=10.2307/2690369 | citeseerx=10.1.1.210.6272
 | url=https://users.renyi.hu/~p_erdos/1983-27.pdf
}}
*{{cite book
 | last=Gelfond | first=A. | author-link=Alexander Gelfond
 | year=1960 | orig-year=1956
 | title=Transcendental and Algebraic Numbers  | edition = reprint
 | publisher=Dover
}}
*{{cite journal
 | last=Gray | first=Robert
 | year=1994
 | title=Georg Cantor and transcendental numbers
 | journal=[[Amer. Math. Monthly]]
 | volume=101 | issue=9 | pages=819–832
 | doi=10.2307/2975129 | zbl=0827.01004 | jstor=2975129
 | url=http://www.maa.org/programs/maa-awards/writing-awards/georg-cantor-and-transcendental-numbers
 | via=maa.org
}}
*{{cite book
 |last=Hardy |first=G.H.  |author-link = G. H. Hardy
 |year=1979
 |title=An Introduction to the Theory of Numbers  |edition=5th
 |publisher=Clarendon Press
 |location=Oxford
 |isbn=0-19-853171-0
 |page=159
}}
*{{cite book
 | last=Higgins | first=Peter M.
 | year=2008
 | title=Number Story
 | publisher=Copernicus Books
 | isbn=978-1-84800-001-8
}}
*{{cite journal
 | last=Hilbert | first=D. | author-link=David Hilbert
 | year=1893
 | title=Über die Transcendenz der Zahlen ''e'' und <math>\pi</math>
 | journal=[[Mathematische Annalen]]
 | volume=43 | issue=2–3 | pages=216–219
 | doi=10.1007/BF01443645 | s2cid=179177945
 | url=https://zenodo.org/record/1428216
 }}
*{{cite journal
 | last=Kempner | first=Aubrey J.
 | year=1916
 | title=On Transcendental Numbers
 | journal=Transactions of the American Mathematical Society
 | volume=17 | issue=4 | pages=476–482
 | doi=10.2307/1988833 | doi-access=free | jstor=1988833
}}
*{{cite journal
 | last=Lambert | first=J.H. | author-link=Johann Heinrich Lambert
 | year=1768
 | title=Mémoire sur quelques propriétés remarquables des quantités transcendantes, circulaires et logarithmiques
 | journal=Mémoires de l'Académie Royale des Sciences de Berlin
 | pages=265–322
}}
*{{cite book
 | last1=Leibniz  | first1=G.W.        | author1-link=Gottfried Wilhelm Leibniz
 | last2=Gerhardt | first2=Karl Immanuel
 | last3=Pertz    | first3=Georg Heinrich
 | year=1858
 | title=Leibnizens mathematische Schriften
 | publisher=A. Asher & Co.
 | volume=5  | pages=97–98
 | url=https://archive.org/details/leibnizensmathe07leibgoog/page/n42
 | via=Internet Archive
}}
*{{cite book
 | last=le Lionnais | first=F. | author-link=François Le Lionnais
 | year=1979
 | title=Les nombres remarquables
 | publisher=Hermann
 | isbn=2-7056-1407-9
}}
*{{cite book
 | last=le&nbsp;Veque | first=W.J. | author-link=William J. LeVeque
 | year=2002 | orig-year=1956
 | title=Topics in Number Theory
 | volume = I and II
 | publisher=Dover
 | isbn=978-0-486-42539-9
 | url=https://archive.org/details/topicsinnumberth0000leve
 | url-access=registration  | via=Internet Archive
}}
*{{cite journal
 | last=Liouville | first=J. | author-link=Joseph Liouville
 | year=1851
 | title=Sur des classes très étendues de quantités dont la valeur n'est ni algébrique, ni même réductible à des irrationnelles algébriques
 | journal=J. Math. Pures Appl.
 | volume=16 | pages=133–142
 | url=http://sites.mathdoc.fr/JMPA/PDF/JMPA_1851_1_16_A5_0.pdf
}}
*{{cite book
 | last=Loxton | first=J.H.
 | year=1988
 | chapter=13. Automata and transcendence
 | editor-last=Baker | editor-first=A. | editor-link=Alan Baker (mathematician)
 | title=New Advances in Transcendence Theory
 | pages=215–228
 | publisher=[[Cambridge University Press]]
 | isbn=978-0-521-33545-4 | zbl=0656.10032
}}
*{{cite journal
 | last=Mahler | first=K. | author-link=Kurt Mahler
 | year=1929
 | title=Arithmetische Eigenschaften der Lösungen einer Klasse von Funktionalgleichungen
 | journal=[[Math. Annalen]]
 | volume=101 | pages=342–366
 | jfm=55.0115.01 | doi=10.1007/bf01454845 | s2cid=120549929
}}
*{{cite journal
 | last=Mahler | first=K. | author-link=Kurt Mahler
 | year=1937
 | title=Arithmetische Eigenschaften einer Klasse von Dezimalbrüchen
 | journal=Proc. Konin. Neder. Akad. Wet. Ser. A
 | issue=40 | pages=421–428
}}
*{{cite book
 | last=Mahler | first=K. | author-link=Kurt Mahler
 | year=1976
 | title=Lectures on Transcendental Numbers
 | series=Lecture Notes in Mathematics   | volume=546
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-3-540-07986-6 | zbl=0332.10019
}}
*{{cite book
 | last1=Natarajan   | first1=Saradha   | author1-link=:fr:Saradha Natarajan
 | last2=Thangadurai | first2=Ravindranathan
 | year=2020
 | publisher=[[Springer Verlag]]
 | title=Pillars of Transcendental Number Theory
 | isbn=978-981-15-4154-4
}}
*{{cite book
 | last=Pytheas Fogg | first=N.
 | year=2002
 | title=Substitutions in dynamics, arithmetics and combinatorics
 | editor1-last=Berthé   | editor1-first=V. | editor1-link=Valérie Berthé
 | editor2-last=Ferenczi | editor2-first=Sébastien
 | editor3-last=Mauduit  | editor3-first=Christian
 | editor4-last=Siegel   | editor4-first=A.
 | series=Lecture Notes in Mathematics  | volume=1794
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-3-540-44141-0 | zbl=1014.11015
}}
*{{cite conference
 | last=Shallit | first=J. | author-link=Jeffrey Shallit
 | date=15–26 July 1996  | publication-date=1999
 | title=Number theory and formal languages
 | editor1-last=Hejhal     | editor1-first=D.A. | editor1-link=Dennis Hejhal
 | editor2-last=Friedman   | editor2-first=Joel
 | editor3-last=Gutzwiller | editor3-first=M.C. | editor3-link=Martin Gutzwiller
 | editor4-last=Odlyzko    | editor4-first=A.M. | editor4-link=Andrew Odlyzko
 | book-title=Emerging Applications of Number Theory
 | conference=IMA Summer Program
 | place=Minneapolis, MN
 | series=The IMA Volumes in Mathematics and its Applications  | volume=109  | pages=547–570
 | publisher=[[Springer-Verlag|Springer]]
 | isbn=978-0-387-98824-5
}}

{{refend}}