Content deleted Content added
→Sources: ce |
→Sources: ref harv |
||
Line 88:
*{{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 |ref=harv}}
*{{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 | pages=220–228 |ref=harv}}
*{{cite book | first1=Alan | last1=Baker | first2=Gisbert | last2= Wüstholz | authorlink2=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 | ref=harv}}
*{{cite book | first1=Enrico | last1=Bombieri | authorlink1=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 | ref=harv}}
*{{cite book | first=Peter | last=Borwein | authorlink=Peter Borwein | title=Computational Excursions in Analysis and Number Theory | series=CMS Books in Mathematics | publisher=[[Springer-Verlag]] | year=2002 | isbn=0-387-95444-9 | zbl=1020.12001 | pages=2,3,142,148 | ref=harv}}
*{{cite book | first=Daniel | last=Bump| authorlink1=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 | ref=harv}}
*{{cite book |title=Arithmetic geometry |last=Cornell |first=Gary |author2=Silverman, Joseph H. |authorlink2=Joseph H. Silverman |year=1986 |publisher=Springer |___location= New York |isbn=0387963111 |pages= | ref=harv}} → 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 | trans-title=Finiteness theorems for abelian varieties over number fields | language=German | ref=harv}}
*{{cite journal |last1=Faltings | first1=Gerd | author1link=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 | ref=harv}}
*{{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}}
*{{cite journal | first=K. | last=Mahler | authorlink=Kurt Mahler | title=On two extremum properties of polynomials | journal=Illinois J. Math. | volume=7 | pages=681–701 | year= 1963 | zbl=0117.04003 | ref=harv}}
*{{cite journal | first=André | last=Néron | authorlink=André Néron | title=Quasi-fonctions et hauteurs sur les variétés abéliennes | journal=[[Ann. of Math.]] | volume=82 | year=1965 | pages=249–331 | doi=10.2307/1970644 | mr=0179173 | language=fr | ref=harv}}
*{{cite book | last=Schinzel | first= Andrzej | authorlink=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=212 | ref=harv}}
*{{cite journal | last1=Schmidt | first1=Wolfgang M. | authorlink=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 | ref=harv}}
*{{cite book | first=Serge | last=Lang | authorlink=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 | ref=harv}}
*{{cite book | first=Serge | last=Lang | title=Survey of Diophantine Geometry | publisher=[[Springer-Verlag]] | year=1997 | isbn=3-540-61223-8 | zbl=0869.11051 | ref=harv}}
*{{cite journal|last=Weil|first=André|authorlink=André Weil|title=L'arithmétique sur les courbes algébriques|journal=[[Acta Mathematica]]|volume=52|year=1929|pages=281–315|issue=1|doi=10.1007/BF02592688|mr=1555278 | ref=harv}}
*{{cite book |title=Advanced Topics in the Arithmetic of Elliptic Curves |author=Silverman, Joseph H. |authorlink=Joseph H. Silverman |year=1994|publisher=Springer |___location= New York |isbn=978-1-4612-0851-8 | ref=harv}}
*{{cite book | last1=Vojta | first1=Paul | author1link=Paul Vojta | title=Diophantine approximations and value distribution theory | publisher=[[Springer-Verlag]] | ___location=Berlin, New York | series=Lecture Notes in Mathematics | isbn=978-3-540-17551-3 | doi=10.1007/BFb0072989 | zbl=0609.14011 | mr=883451 | year=1987 | volume=1239 | ref=harv}}
| |||