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08540Īll rights, especially that of translation into foreign languages, reserved. Professor Andre Weil The Institute for Advanced Study, Princeton, N. even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.Ĥ113111 - 5 4 3 21 - Printed on acid-free paper 1995 The use of general descriptive names, registered names. Violations are liable for prosecution under tbe German Copyright Law. and permission for use must always be obtained from Springer-Verlag. Duplication of this publication or parts thereof is permitted only under the provision of the German Copyright Law of September 9. reproduction on microfilm or in any other way. All rights are reserved, whether the whole or part of the material is concerned. Photograph by kind permission of Lucien GilletĮlP data applied for This work is subject to copyright. Mathematics Subject Classification (1991): llR Grundlehren der mathematischen Wissenschaften Bourbaki, the highly influential multivolume treatise Elements de mathematique.Ĭlassics in Mathematics Andre Weil Basic Number Theoryīasic Number Theory Reprint of the 1974 EditionĪndre Wei! Institute for Advanced Study Princeton. Weil was one of the founders, around 1934, of the group that published, under the collective name of N. A great deal of his work was directed towards establishing the links between number theory and algebraic geometry and devising modern methods in analytic number theory. Andre Weil's work laid the foundation for abstract algebraic geometry and the modern theory of abelian varieties. After studying mathematics at the Ecole Normale Superieure and receiving a doctoral degree from the University of Paris in 1928, he held professorial positions in India, France, the United States and Brazil before being appointed to the Institute for Advanced Study, Princeton in 1958 where he is now Professor Emeritus.