Sprache: Englisch
Verlag: Springer-Verlag / Berlin, Heidelberg New York, Tokyo, 1985
ISBN 10: 3540127887 ISBN 13: 9783540127888
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ISBN 10: 364255380X ISBN 13: 9783642553806
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Gebundene Ausgabe. 222 Seiten 1993. Neuwertiges Exemplar. Sprache: Englisch Gewicht in Gramm: 500.
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xi, 222 S. Pbd. Neuwertig. dt.
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Sprache: Englisch
Verlag: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1993
ISBN 10: 3540533451 ISBN 13: 9783540533450
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In den WarenkorbHardback. Zustand: New. Illustrated. This work provides an introduction to four central problems in analytic number theory. These are (1) the problems of estimating the number of integer points in planar domains, (2) the problem of the distribution of prime numbers in the sequence of all natural numbers and in arithmetic progressions, (3) Goldbach's problems on sums of primes, and (4) Waring's problem on sums of k-th powers. The following fundamental methods of analytic number theory are used to solve these problems: complex integration, I.M. Vinogradov's method of trigonometric sums, and the circle method of G.H. Hardy, J.E. Littlewood, and S. Ramanujan. There are numerous exercises at the end of each chapter. These exercises either refine the theorems proved in the text, or lead to new ideas in number theory. The author also includes a section of hints for the solution of the exercises.
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Sprache: Englisch
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ISBN 10: 364255380X ISBN 13: 9783642553806
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - I. M. Vinogradov (1891 - 1983) was one of the creators of modern analytic number theory. He graduated from the University of St. Petersburg, where in 1920 he became a Professor. From 1934 he was a Director of the Steklov Institute of Mathematics, a position he held for the rest of his life, except for five years during World War II. This edition includes a selection of articles, chosen by the author himself, which highlight the important stages of his scientific career. In addition to some early works, it contains the initial proofs of many of Vinogradov's basic theorems as well as the later improved versions, and also two substantial monographs.
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Taschenbuch. Zustand: Neu. Basic Analytic Number Theory | Anatolij A. Karatsuba | Taschenbuch | xiii | Englisch | 2012 | Springer | EAN 9783642634369 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Sprache: Englisch
Verlag: Springer Berlin Heidelberg, 2012
ISBN 10: 3642634362 ISBN 13: 9783642634369
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This English translation of Karatsuba's Basic Analytic Number Theory follows closely the second Russian edition, published in Moscow in 1983. For the English edition, the author has considerably rewritten Chapter I, and has corrected various typographical and other minor errors throughout the the text. August, 1991 Melvyn B. Nathanson Introduction to the English Edition It gives me great pleasure that Springer-Verlag is publishing an English trans lation of my book. In the Soviet Union, the primary purpose of this monograph was to introduce mathematicians to the basic results and methods of analytic number theory, but the book has also been increasingly used as a textbook by graduate students in many different fields of mathematics. I hope that the English edition will be used in the same ways. I express my deep gratitude to Professor Melvyn B. Nathanson for his excellent translation and for much assistance in correcting errors in the original text. A.A. Karatsuba Introduction to the Second Russian Edition Number theory is the study of the properties of the integers. Analytic number theory is that part of number theory in which, besides purely number theoretic arguments, the methods of mathematical analysis play an essential role.
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Verlag: Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2014
ISBN 10: 364255380X ISBN 13: 9783642553806
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In den WarenkorbPaperback. Zustand: New. 1985. Reprint 2014 of the 1985 edition. I. M. Vinogradov (1891 - 1983) was one of the creators of modern analytic number theory. He graduated from the University of St. Petersburg, where in 1920 he became a Professor. From 1934 he was a Director of the Steklov Institute of Mathematics, a position he held for the rest of his life, except for five years during World War II. This edition includes a selection of articles, chosen by the author himself, which highlight the important stages of his scientific career. In addition to some early works, it contains the initial proofs of many of Vinogradov's basic theorems as well as the later improved versions, and also two substantial monographs.