Collected papers

著者

• Lang, Serge
• Jorgenson, Jay

書誌事項

Collected papers

Serge Lang

Springer-Verlag, c2000-

• : set
• v. 1
• v. 2
• v. 3
• v. 4
• v. 5

注記

v. 1. 1952-1970 -- v. 2. 1971-1977 -- v. 3. 1978-1990 -- v. 4. 1990-1996 -- v. 5. 1993-1999

"With Jay Jorgenson"--On t. p. of v. 5

Includes bibliographical references and index

内容説明・目次

巻冊次

v. 5 ISBN 9780387950303

内容説明

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 Carriere by the French Academy of Sciences. These five volumes collect the majority of his research papers, which range over a variety of topics.

目次

[1993a] On Cramer's Theorem for General Euler Products with Functional Equation.- [1993b] Basic Analysis of Regularized Series and Products.- [1994a] Artin Formalism and Heat Kernels.- [1994b] Explicit Formulas for Regularized Products and Series.- [1996c] Extension of Analytic Number Theory and the Theory of Regularized Harmonic Series from Dirichlet Series to Bessel Series.- [1999a] Hilbert-Asai Eisenstein Series, Regularized Products, and Heat Kernels.- Permissions.

巻冊次

v. 3 ISBN 9780387988009

内容説明

Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.

目次

[1978a] The p-Primary Component of the Cuspidal Divisor Class Group on the Modular Curve X(p) (with D. Kubert).- [1978b] Units in the Modular Function Field V: Iwasawa Theory in the Modular Tower (with D. Kubert).- [1978c] Stickelberger Ideals (with D. Kubert).- [1978d] The Index of Stickelberger Ideals of Order 2 and Cuspidal Class Numbers (with D. Kubert).- [1978e] Relations de Distributions et Exemples Classiques.- [1979a] Cartan-Bernoulli Numbers as Values of L-Series (with D. Kubert).- [1979b] Independence of Modular Units on Tate Curves (with D. Kubert).- [1979c] Modular Units inside Cyclotomic Units (with D. Kubert).- [1981a] Finiteness Theorems in Geometric Class Field Theory (with N. Katz).- [1982a] Representations Localement Algebriques dans les Corps Cyclotomiques.- [1982b] Units and Class Groups in Number Theory and Algebraic Theory.- [1983] Conjectured Diophantine Estimates on Elliptic Curves.- [1984a] Vojta's Conjecture.- [1984b] Varietes Hyperboliques et Analyse Diophantienne.- [1986a] Hyperbolic and Diophantine Analysis.- [1987a] Diophantine Problems in Complex Hyperbolic Analysis.- [1988] The Error Term in Nevanlinna Theory.- [1990a] The Error Term in Nevanlinna Theory II.- [1990b] Old and New Conjectured Diophantine Inequalities.

巻冊次

v. 1 ISBN 9780387988023

内容説明

Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.

目次

[1952a] On Quasi Algebraic Closure.- [1952b] Hilbert's Nullstellensatz in Infinite Dimensional Space.- [1952c] On Chevalley's Proof of Luroth's Theorem (with J. Tate).- [1953] The Theory of Real Places.- [1954a] Some Applications of the Local Uniformization Theorem.- [1954b] Number of Points of Varieties in Finite Fields (with A. Weil).- [1955] Abelian Varieties over Finite Fields.- [1956a] Unramified Class Field Theory over Function Fields in Several Variables.- [1956b] On the Lefschetz Principle.- [1956c] L-Series of a Covering.- [1956d] Sur les Series L d'une Variete algebrique.- [1956e] Algebraic Groups over Finite Fields.- [1957a] Sur les Revetements non-ramifies des Varietes algebriques (with J.-P. Serre).- [1957b] On the Birational Equivalence of Curves under Specialization (with W.-L. Chow).- [1957c] Divisors and Endomorphisms on Abelian Varieties.- [1958a] Reciprocity and Correspondences.- [1958b] Principal Homogeneous Spaces over Abelian Varieties (with J. Tate).- [1958c] Algebraic Groups and the Galois Theory of Differential Fields (with E. Kolchin).- [1959a] Rational Points of Abelian Varieties over Function Fields (with A. Neron).- [1960a] Existence of Invariant Bases (with E. Kolchin).- [1960b] Integral Points on Curves.- [1960c] Some Theorems and Conjectures in Diophantine Equations.- [1960d] On a Theorem of Mahler.- [1961] Review of Elements de Geometrie algebrique (A. Grothendieck).- [1962a] A Transcendence Measure for E-functions.- [1962b] Transcendental Points on Group Varieties.- [1962c] Fonctions implicites et Plongements Riemanniens.- [1964a] Diophantine Approximation on Toruses.- [1965a] Report on Diophantine Approximations.- [1965b] Division Points on Curves.- [1965c] Algebraic Values of Meromorphic Functions.- [1965d] Asymptotic Approximation to Quadratic Irrationalities I.- [1965e] Asymptotic Approximation to Quadratic Irrationalities II.- [1965f] Some Computations in Diophantine Approximation (with W. Adams).- [1966a] Algebraic Values of Meromorphic Functions II.- [1966b] Asymptotic Diophantine Approximations.- [1966c] Introduction to Transcendental Numbers.- [1970a] Analytic Subgroups of Group Varieties (with E. Bombieri).- [1970b] Review of Diophantine Equations (L.J. Mordell).

巻冊次

v. 2 ISBN 9780387988030

内容説明

Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.

目次

[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.

巻冊次

v. 4 ISBN 9780387988047

内容説明

Serge Lang is not only one of the top mathematicians of our time, but also an excellent writer. He has made innumerable and invaluable contributions in diverse fields of mathematics and was honoured with the Cole Prize by the American Mathematical Society as well as with the Prix Carriere by the French Academy of Sciences. Here, 83 of his research papers are collected in four volumes, ranging over a variety of topics of interest to many readers.

目次

[1990c] Lectures on Nevanlinna Theory.- [1995a] Mordell's Review, Siegel's Letter to Mordell, Diophantine Geometry, and 20th Century Mathematics.- [1995b] Some History of the Shimura-Taniyama Conjecture.- [1996a] La Conjecture de Bateman-Horn.- [1996b] Comments on Chow's Works.- [1996d] Topics in Cohomology of Groups.- [1998] The Kirschner Article and HIV: Scientific and Journalistic (Ir)responsibilities.- [1999b] Response to the Steele Prize.

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詳細情報

• NII書誌ID(NCID): BA47109594
• ISBN:
  • 0387915915
  • 0387988025
  • 0387988033
  • 0387988009
  • 0387988041
  • 0387950303
• LCCN: 99017359
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: v.
• 大きさ: 25 cm
• 分類:
  • LCC : QA7
  • DC21 : 510
• 件名:
  • LCSH : Mathematics