Editing Diophantine approximation (section)

==References==
{{refbegin|30em}}
*{{cite journal |zbl=1148.11033 |last1=Beresnevich |first1=Victor |last2=Velani |first2=Sanju |title=A mass transference principle and the Duffin-Schaeffer conjecture for Hausdorff measures |journal=[[Annals of Mathematics]] |volume=164 |issue=3 |year=2006 |pages=971–992 |doi=10.4007/annals.2006.164.971|arxiv=math/0412141 |s2cid=14475449 }}
*{{cite book
 | last1 = Bernik | first1 = V.
 | last2 = Beresnevich | first2 = V.
 | last3 = Götze | first3 = F.
 | last4 = Kukso | first4 = O.
 | editor1-last = Eichelsbacher | editor1-first = Peter
 | editor2-last = Elsner | editor2-first = Guido
 | editor3-last = Kösters | editor3-first = Holger
 | editor4-last = Löwe | editor4-first = Matthias
 | editor5-last = Merkl | editor5-first = Franz
 | editor6-last = Rolles | editor6-first = Silke
 | contribution = Distribution of algebraic numbers and metric theory of Diophantine approximation
 | doi = 10.1007/978-3-642-36068-8_2
 | location = Heidelberg
 | mr = 3079136
 | pages = 23–48
 | publisher = Springer
 | series = Springer Proceedings in Mathematics & Statistics
 | title = Limit Theorems in Probability, Statistics and Number Theory: In Honor of Friedrich Götze
 | volume = 42
 | year = 2013
 | isbn = 978-3-642-36067-1
 | s2cid = 55652124
 }}
* {{cite book |last=Bugeaud |first=Yann |title=Distribution modulo one and Diophantine approximation |series=Cambridge Tracts in Mathematics |volume=193 |location=Cambridge |publisher=[[Cambridge University Press]] |year=2012 |isbn=978-0-521-11169-0 |zbl=1260.11001}}
* {{cite book |first=J. W. S. |last=Cassels |author-link=J. W. S. Cassels |title=An introduction to Diophantine approximation |series=Cambridge Tracts in Mathematics and Mathematical Physics |volume=45 |publisher=[[Cambridge University Press]] |year=1957 }}
*{{cite journal |zbl=0025.11002 |last1=Duffin |first1=R. J. |last2=Schaeffer |first2=A. C. |title=Khintchine's problem in metric diophantine approximation |journal=[[Duke Mathematical Journal]] |volume=8 |issue=2 |pages=243–255 |year=1941 |issn=0012-7094 |doi=10.1215/s0012-7094-41-00818-9}}
*{{cite journal | last1=Dyson | first1=Freeman J. | author1-link=Freeman Dyson | title=The approximation to algebraic numbers by rationals | doi= 10.1007/BF02404697 | mr=0023854 | zbl=0030.02101 | year=1947 | journal=[[Acta Mathematica]] | issn=0001-5962 | volume=79 | pages=225–240 | doi-access=free }}
*{{cite book |first1=G. H. |last1=Hardy |author1-link=G. H. Hardy |first2=E. M. |last2=Wright |author2-link=E. M. Wright |title=An Introduction to the Theory of Numbers |edition=5th |year=1979 |publisher=Oxford University Press |isbn=978-0-19-853170-8 |mr=568909 |title-link=An Introduction to the Theory of Numbers }}
*{{cite journal |first=A. |last=Hurwitz |author-link=Adolf Hurwitz |title=Ueber die angenäherte Darstellung der Irrationalzahlen durch rationale Brüche |trans-title=On the approximate representation of irrational numbers by rational fractions |language=de |journal=Mathematische Annalen |volume=39 |year=1891 |issue=2 |pages=279–284 |mr=1510702 |doi=10.1007/BF01206656 |s2cid=119535189 }}
* {{cite book |first=A. Ya. |last=Khinchin |author-link=Aleksandr Khinchin |title=Continued Fractions |publisher=Dover |year=1997 |orig-year=1964 |isbn=0-486-69630-8 }}
*{{cite journal |last1=Kleinbock |first1=D. Y. |last2=Margulis |first2=G. A. |author2-link= Grigory Margulis |title=Flows on homogeneous spaces and Diophantine approximation on manifolds |journal=Ann. Math. |volume=148 |issue=1 |year=1998 |pages=339–360 |mr=1652916 |zbl=0922.11061 |doi=10.2307/120997 |jstor=120997|arxiv=math/9810036 |bibcode=1998math.....10036K |s2cid=8471125 }}
* {{cite book |first=Serge |last=Lang |author-link=Serge Lang |title=Introduction to Diophantine Approximations |edition=New expanded |publisher=[[Springer-Verlag]] |year=1995 |isbn=0-387-94456-7 |zbl=0826.11030 }}
* {{cite book |first=G. A. |last=Margulis |author-link=Grigory Margulis |chapter=Diophantine approximation, lattices and flows on homogeneous spaces |title=A panorama of number theory or the view from Baker's garden |editor1-last=Wüstholz |editor1-first=Gisbert |editor1-link=Gisbert Wüstholz |pages=280–310 |publisher=[[Cambridge University Press]] |location=Cambridge |year=2002 |mr=1975458 |isbn=0-521-80799-9 }}
* {{cite book |first=Oskar |last=Perron |author-link=Oskar Perron |year=1913 |title=Die Lehre von den Kettenbrüchen |trans-title=The Theory of Continued Fractions |language=de |publisher=B. G. Teubner |location=Leipzig |url=https://archive.org/details/dielehrevondenk00perrgoog }}
* {{cite book |first=Oskar |last=Perron |author-link=Oskar Perron |year=1929 |title=Die Lehre von den Kettenbrüchen |trans-title=The Theory of Continued Fractions |language=de |edition=2nd |location=Chelsea |url=http://catalog.hathitrust.org/Record/009514653 }}
*{{cite journal | last1=Roth | first1=Klaus Friedrich | author1-link=Klaus Friedrich Roth |title=Rational approximations to algebraic numbers | doi=10.1112/S0025579300000644 | mr=0072182 | year=1955 | journal=[[Mathematika]] | issn=0025-5793 | volume=2 | pages=1–20, 168 | zbl=0064.28501}}
* {{cite book |zbl=0421.10019 |last=Schmidt |first=Wolfgang M. |author-link=Wolfgang M. Schmidt |edition=1996 |title=Diophantine approximation |series=Lecture Notes in Mathematics |volume=785 |location=Berlin-Heidelberg-New York |publisher=[[Springer-Verlag]] |year=1980 |isbn=3-540-09762-7 }}
* {{cite book |last=Schmidt |first=Wolfgang M. |author-link=Wolfgang M. Schmidt |title=Diophantine approximations and Diophantine equations |series=Lecture Notes in Mathematics |volume=1467 |publisher=[[Springer-Verlag]] |year=1996 |edition=2nd |isbn=3-540-54058-X |zbl=0754.11020 }}
*{{cite journal | last1=Siegel | first1=Carl Ludwig | author1-link=Carl Ludwig Siegel | title=Approximation algebraischer Zahlen  | doi=10.1007/BF01211608 | year=1921 | journal=[[Mathematische Zeitschrift]] | issn=0025-5874 | volume=10 | issue=3 | pages=173–213 | s2cid=119577458 | url=https://zenodo.org/record/1538156 }}
* {{cite book |last=Sprindzhuk |first=Vladimir G. |title=Metric theory of Diophantine approximations |others=Transl. from the Russian and ed. by Richard A. Silverman. With a foreword by Donald J. Newman |series=Scripta Series in Mathematics |publisher=John Wiley & Sons |year=1979 |isbn=0-470-26706-2 |mr=0548467 |zbl=0482.10047}}
*{{cite journal | last1=Thue | first1=A. | author1-link=Axel Thue | title=Über Annäherungswerte algebraischer Zahlen | url=http://resolver.sub.uni-goettingen.de/purl?PPN243919689_0135 | year=1909 | journal=[[Journal für die reine und angewandte Mathematik]] | issn=0075-4102 | volume=1909 | issue=135 | pages=284–305 | doi=10.1515/crll.1909.135.284 | s2cid=125903243 }}
{{refend}}