Collected Papers III: 1978-1990

ISBN-13: 9781461461395 / Angielski / Miękka / 2013 / 393 str.

Serge Lang

Opis

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

Recenzje

S. Lang

Collected Papers, Vol III

1978-1990

"Contain[s] a wealth of wonderful mathematics, plus a lot more, spanning almost five decades of work by one of the 20th century's most prolific and influential mathematicians. Every mathematician will find much of interest herein."-MATHEMATICAL REVIEWS

Spis treści

[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] Représentations Localement Algébriques 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] Variétés 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.

O autorze

Serge Lang is one of the top mathematicians of our time. Being an excellent writer, Lang has made innumerable contributions in diverse fields in mathematics and they are invaluable. 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. In these four volumes 83 of his research papers are collected. They range over a variety of topics and will be of interest to many readers.

Blurb

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.