艾伦·贝克(英语:Alan Baker,1939年8月19日—2018年2月4日),英国数学家,生于英国伦敦。他的兴趣在数论,特别是超越数论。他于伦敦大学学院作哈罗得·达文波特的学生,开始其学术生涯,之后他转到剑桥大学。1970年他31岁时获得了菲尔兹奖。
工作
贝克推广了格尔丰德-施奈德定理,而该定理本身解答了希尔伯特第七问题。[2]贝克证明了若是不等于0或1的代数数,而是无理代数数,使得集合在有理数上线性独立,则是超越数。
文献
- Baker, Alan, Linear forms in the logarithms of algebraic numbers. I, Mathematika, 1966, 13: 204–216, ISSN 0025-5793, MR 0220680, doi:10.1112/S0025579300003971
- Baker, Alan, Linear forms in the logarithms of algebraic numbers. II, Mathematika, 1967a, 14: 102–107, ISSN 0025-5793, MR 0220680, doi:10.1112/S0025579300008068
- Baker, Alan, Linear forms in the logarithms of algebraic numbers. III, Mathematika, 1967b, 14: 220–228, ISSN 0025-5793, MR 0220680, doi:10.1112/S0025579300003843
- Baker, Alan, Transcendental number theory, Cambridge Mathematical Library 2nd, Cambridge University Press, 1990, ISBN 978-0-521-39791-9, MR 0422171
- Baker, Alan; Wüstholz, G., Logarithmic forms and Diophantine geometry, New Mathematical Monographs 9, Cambridge University Press, 2007, ISBN 978-0-521-88268-2, MR 2382891
参考
外部链接
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