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Mathematics - Number Theory and Discrete Mathematics | Collected Papers II - 1971–1977

Collected Papers II

1971–1977

Lang, Serge

2000. Reprint 2013 of the 2000 edition, XVI, 590 p. 22 illus.

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  • About this book

  • Integrates classic material
  • Authored by the winner of the Cole prize
  • Historical significance
Serge Lang (1927-2005) was one of the top mathematicians of our time. He was born in Paris in 1927, and moved with his family to California, where he graduated from Beverly Hills High School in 1943. He subsequently graduated from California Institute of Technology  in 1946, and received a doctorate from Princeton University in 1951 before holding faculty positions at the University of Chicago and Columbia University (1955-1971). At the time of his death he was professor emeritus of Mathematics at Yale University.

An excellent writer, Lang has made innumerable and invaluable contributions in diverse fields of mathematics. He was perhaps best known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was also a member of the Bourbaki group.

He was honored with the Cole Prize by the American Mathematical Society as well as with the Prix Carrière by the French Academy of Sciences. These five volumes collect the majority of his research papers, which range over a variety of topics.

Content Level » Research

Keywords » Abelian variety - Dimension - Diophantine approximation - Grad - algebraic geometry - modular form - number theory

Related subjects » Algebra - Number Theory and Discrete Mathematics - Theoretical, Mathematical & Computational Physics

Table of contents 

[1971a] Transcendental Numbers and Diophantine Approximations.- [1971b] On the Zeta Function of Number Fields.- [1971c] The Group of Automorphisms of the Modular Function Field.- [1972a] Isogenous Generic Elliptic Curves.- [1972b] Continued Fractions for Some Algebraic Numbers.- [1973] Frobenius Automorphisms of Modular Function Fields.- [1974a] Higher Dimensional Diophantine Problems.- [1974b] Addendum to “Continued Fractions of Some Algebraic Numbers”.- [1975a] Diophantine Approximations on Abelian Varieties with Complex Multiplication.- [1975b] Division Points of Elliptic Curves and Abelian Functions over Number Fields.- [1975c] Units in the Modular Functions Field I.- [1975d] Units in the Modular Functions Field II.- [1975e] Units in the Modular Functions Field III.- [1976a] Diophantine Approximations on Abelian Varieties with Complex Multiplication.- [1976b] Distributions on Toroidal Groups.- [1976c] Units in the Modular Function Field.- [1976d]Frobenius Distributions in GL2-Extensions.- [1977a] Units in the Modular Field IV.- [1977b] Primitive Points on Elliptic Curves.

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