查看“︁艾倫·貝克 (數學家)”︁的源代码

{{otheruse|艾倫·貝克}}
[[File:Alan-Baker.jpg|thumb|貝克]]
[[File:Alan Baker.jpg|thumb|年輕時期的艾倫·貝克]]
'''艾倫·貝克'''（{{lang-en|Alan Baker}}，{{bd|1939年|8月19日|2018年|2月4日|catIdx=Baker}}），[[英國]][[數學家]]，生於[[英國]][[倫敦]]。他的興趣在[[數論]]，特別是[[超越數論]]。他於[[倫敦大學學院]]作[[哈羅得·達文波特]]的學生，開始其學術生涯，之後他轉到[[劍橋大學]]。1970年他31歲時獲得了[[菲爾茲獎]]。

2018年2月4日，他因為嚴重中風在[[劍橋]]去世。<ref>{{cite web|url=https://www.trin.cam.ac.uk/news/tributes-paid-to-professor-alan-baker/|title=Tributes paid to Professor Alan Baker|publisher=Trinity College Cambridge|date=2018-02-05|accessdate=2018-02-06|archive-date=2020-10-02|archive-url=https://web.archive.org/web/20201002185354/https://www.trin.cam.ac.uk/news/tributes-paid-to-professor-alan-baker/|dead-url=no}}</ref>

==工作==
貝克推廣了[[格爾豐德-施奈德定理]]，而該定理本身解答了[[希爾伯特第七問題]]。<ref>Biography in Encyclopædia Britannica.
http://www.britannica.com/eb/article-9084909/Alan-Baker {{Wayback|url=http://www.britannica.com/eb/article-9084909/Alan-Baker |date=20080404004909 }}</ref>貝克證明了若<math>\alpha_1,...,\alpha_n</math>是不等於0或1的[[代數數]]，而<math>\beta_1,..,\beta_n</math>是無理代數數，使得集合<math>\{1,\beta_1,...,\beta_n\}</math>在有理數上[[線性獨立]]，則<math>\alpha_1^{\beta_1}\alpha_2^{\beta_2}\cdots\alpha_n^{\beta_n}</math>是[[超越數]]。

==文獻==
*{{Citation | last1=Baker | first1=Alan | title=Linear forms in the logarithms of algebraic numbers. I | doi=10.1112/S0025579300003971 | mr=0220680 | year=1966 | journal=[[Mathematika]] | issn=0025-5793 | volume=13 | pages=204–216}}
*{{Citation | last1=Baker | first1=Alan | title=Linear forms in the logarithms of algebraic numbers. II | doi=10.1112/S0025579300008068 | mr=0220680 | year=1967a | journal=[[Mathematika]] | issn=0025-5793 | volume=14 | pages=102–107}}
*{{Citation | last1=Baker | first1=Alan | title=Linear forms in the logarithms of algebraic numbers.  III | doi=10.1112/S0025579300003843  | mr=0220680 | year=1967b | journal=[[Mathematika]] | issn=0025-5793 | volume=14 | pages=220–228}}
*{{Citation | last1=Baker | first1=Alan | title=Transcendental number theory | url=http://books.google.com/books?isbn=052139791X | publisher=[[Cambridge University Press]] | edition=2nd | series=Cambridge Mathematical Library | isbn=978-0-521-39791-9 | mr=0422171 | year=1990}}
*{{Citation | last1=Baker | first1=Alan | last2=Wüstholz | first2=G. | title=Logarithmic forms and Diophantine geometry | url=http://books.google.com/books?isbn=978-0-521-88268-2 | publisher=Cambridge University Press | series=New Mathematical Monographs | isbn=978-0-521-88268-2 | mr=2382891 | year=2007 | volume=9}}

==參考==
{{reflist}}

==外部連結==
* {{MacTutor Biography|id=Baker_Alan}}
* {{MathGenealogy |id=22765}}

{{菲爾兹獎}}
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{{DEFAULTSORT:Baker, Alan}}
[[Category:菲爾茲獎獲得者]]
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[[Category:21世紀數學家]]
[[Category:倫敦數學家]]
[[Category:伦敦大学学院校友]]
[[Category:剑桥大学三一学院校友]]
[[Category:死于脑血管病]]
[[Category:劍橋大學教師]]