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Line 91: ==Sources== {{cite journal\| last1=Baker \| first1=Alan \| author-link = Alan Baker (mathematician) \| title=Linear forms in the logarithms of algebraic numbers. I \| doi=10.1112/S0025579300003971 \| mr=0220680 \| year=1966 \| journal=Mathematika. A Journal of Pure and Applied Mathematics \| issn=0025-5793 \| volume=13 \| issue=2 \| pages=204–216 }} {{cite journal\| last1=Baker \| first1=Alan \| title=Linear forms in the logarithms of algebraic numbers. II \| doi=10.1112/S0025579300008068 \| mr=0220680 \| year=1967a \| journal=Mathematika. A Journal of Pure and Applied Mathematics \| issn=0025-5793 \| volume=14 \| pages=102–107 }} {{cite journal\| last1=Baker \| first1=Alan \| title=Linear forms in the logarithms of algebraic numbers. III \| doi=10.1112/S0025579300003843 \| mr=0220680 \| year=1967b \| journal=Mathematika. A Journal of Pure and Applied Mathematics \| issn=0025-5793 \| volume=14 \| issue=2 \| pages=220–228 }} {{cite book \| first1=Alan \| last1=Baker \| first2=Gisbert \| last2= Wüstholz \| author-link2=Gisbert Wüstholz \| title=Logarithmic Forms and Diophantine Geometry \| series=New Mathematical Monographs \| volume=9 \| publisher=[[Cambridge University Press]] \| year=2007 \| isbn=978-0-521-88268-2 \| zbl=1145.11004 \| page=3 }} {{cite book \| first1=Enrico \| last1=Bombieri \| author-link1=Enrico Bombieri \| first2=Walter \| last2=Gubler \| title=Heights in Diophantine Geometry \| series=New Mathematical Monographs \| volume=4 \| publisher=[[Cambridge University Press]] \| year=2006 \| isbn=978-0-521-71229-3 \| zbl=1130.11034 \| doi=10.2277/0521846153 }} {{cite book \| first=Peter \| last=Borwein \| author-link=Peter Borwein \| title=Computational Excursions in Analysis and Number Theory \| url=https://archive.org/details/computationalexc00borw \| url-access=limited \| series=CMS Books in Mathematics \| publisher=[[Springer-Verlag]] \| year=2002 \| isbn=0-387-95444-9 \| zbl=1020.12001 \| pages=[https://archive.org/details/computationalexc00borw/page/n5 2], 3,14148 }} {{cite book \| first=Daniel \| last=Bump\| author-link1=Daniel Bump \| title=Automorphic Forms and Representations \| series=Cambridge Studies in Advanced Mathematics \| volume=55 \| publisher=Cambridge University Press \| year=1998 \| isbn=9780521658188 \| page=300 }} {{cite book \|title=Arithmetic geometry \|~~last~~last1=Cornell \|~~first~~first1=Gary \|last2=Silverman \| first2=Joseph H. \|author-link2=Joseph H. Silverman \|year=1986 \|publisher=Springer \|___location= New York \|isbn=0387963111 }} → Contains an English translation of {{harvtxt\|Faltings\|1983}} {{cite journal \|last=Faltings \|first=Gerd \|year=1983 \|title=Endlichkeitssätze für abelsche Varietäten über Zahlkörpern \|journal=Inventiones Mathematicae \|volume=73 \|issue=3 \|pages=349–366 \|doi=10.1007/BF01388432 \| mr=0718935 \|s2cid=121049418 \| trans-title=Finiteness theorems for abelian varieties over number fields \| language=de }} {{cite journal \|last1=Faltings \| first1=Gerd \| author1-link=Gerd Faltings \| title=Diophantine approximation on abelian varieties \| journal=Annals of Mathematics \| mr=1109353\| year=1991 \| volume=123 \| pages=549–576 \| doi=10.2307/2944319 \| issue=3 \| jstor=2944319 }} {{cite journal\|title=Energy integrals and small points for the Arakelov height\|journal=Archiv der Mathematik\|last1=Fili\|first1=Paul\|last2=Petsche\|first2=Clayton\|last3=Pritsker\|first3=Igor\|volume=109\|issue=5\|year=2017\|pages=441–454 \|doi=10.1007/s00013-017-1080-x\|arxiv=1507.01900\|s2cid=119161942}} {{cite journal \| first=K. \| last=Mahler \| author-link=Kurt Mahler \| title=On two extremum properties of polynomials \| journal=Illinois J. Math. \| volume=7 \| pages=681–701 \| year= 1963 \| issue=4 \| zbl=0117.04003 \| doi=10.1215/ijm/1255645104\| doi-access=free }} {{cite journal \| first=André \| last=Néron \| author-link=André Néron \| title=Quasi-fonctions et hauteurs sur les variétés abéliennes \| journal=[[Ann. of Math.]] \| volume=82 \| year=1965 \| issue=2 \| pages=249–331 \| doi=10.2307/1970644 \| jstor=1970644 \| mr=0179173 \| language=fr }} {{cite book \| last=Schinzel \| first=Andrzej \| author-link=Andrzej Schinzel \| title=Polynomials with special regard to reducibility \| zbl=0956.12001 \| series=Encyclopedia of Mathematics and Its Applications \| volume=77 \| ___location=Cambridge \| publisher=[[Cambridge University Press]] \| year=2000 \| isbn=0-521-66225-7 \| page=[https://archive.org/details/polynomialswiths0000schi/page/212 212] \| url=https://archive.org/details/polynomialswiths0000schi/page/212 }} {{cite journal \| last1=Schmidt \| first1=Wolfgang M. \| author-link=Wolfgang M. Schmidt \| title=Norm form equations \| mr=0314761 \| year=1972 \| journal=[[Annals of Mathematics]] \|series=Second Series \| volume=96 \| pages=526–551 \| issue=3 \| doi=10.2307/1970824 \| jstor=1970824 }} {{cite book \| first=Serge \| last=Lang \| author-link=Serge Lang \| title=Introduction to Arakelov theory \| publisher=[[Springer-Verlag]] \| place=New York \| year=1988 \| isbn=0-387-96793-1 \| mr=0969124 \| zbl=0667.14001 }} *{{cite book \| first=Serge \| last=Lang \| title=Survey of Diophantine Geometry \| publisher=[[Springer-Verlag]] \| year=1997 \| isbn=3-540-61223-8 \| zbl=0869.11051 }}

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