Basic Analytic Number Theory by Karatsuba a A (27 results)

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  • Language: English

    Published by Springer, 1992

    3540533451 / 9783540533450

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    Condition: Very Good. 222 pp., hardcover, covers faded, previous owner's name to the front free endpaper, else very good. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.…

  • Language: English

    Published by Springer, B., 1993

    3540533451 / 9783540533450

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    Gebundene Ausgabe. Condition: Wie neu. 222 Seiten 1993. Neuwertiges Exemplar. Sprache: Englisch Gewicht in Gramm: 500.

  • Language: English

    Published by Springer, 1992

    3540533451 / 9783540533450

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  • Language: English

    Published by Springer 2012-10, 2012

    3642634362 / 9783642634369

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  • Language: English

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  • Language: English

    Published by Springer, 2012

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  • Language: English

    Published by Springer, 2012

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  • Language: English

    Published by Springer, 1992

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  • Language: English

    Published by Springer, 1992

    3540533451 / 9783540533450

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  • Language: English

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  • Language: English

    Published by Springer, 1992

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  • Language: English

    Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1993

    3540533451 / 9783540533450

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    Hardback. Condition: 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.…

  • Language: English

    Published by Springer, 1992

    3540533451 / 9783540533450

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  • Language: English

    Published by Springer, 1992

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  • Language: English

    Published by Springer, 2012

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    Condition: New. pp. 240.

  • Language: English

    Published by Springer, 1992

    3540533451 / 9783540533450

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  • Language: English

    Published by Springer Spektrum, 2012

    3642634362 / 9783642634369

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    Taschenbuch. Condition: 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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    Language: English

    Published by Springer, 2012

    3642634362 / 9783642634369

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    Taschenbuch. Condition: 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. …

  • Language: English

    Published by Springer, 1992

    3540533451 / 9783540533450

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    Hardcover. Condition: Brand New. 240 pages. 6.14x0.56x9.21 inches. In Stock.

  • Language: English

    Published by Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 1993

    3540533451 / 9783540533450

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    Hardback. Condition: 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.…

  • Language: English

    Published by Springer, 2012

    3642634362 / 9783642634369

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  • Language: English

    Published by Springer Berlin Heidelberg Okt 2012, 2012

    3642634362 / 9783642634369

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    Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 240 pp. Englisch.…

  • Language: English

    Published by Springer Berlin Heidelberg, 2012

    3642634362 / 9783642634369

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    Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. 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 a.…

  • Language: English

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    Condition: New. Print on Demand pp. 240 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.

  • Language: English

    Published by Springer, 2012

    3642634362 / 9783642634369

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    Condition: New. PRINT ON DEMAND pp. 240.

  • Language: English

    Published by Springer, Springer Gabler Okt 2012, 2012

    3642634362 / 9783642634369

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    Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Analytic number theory contains many clever and deep 'tricks', some of which are used quite frequently. Karatsuba's book presents the fundamental techniques and their applications to four central problems. These methods are the basic tools of analytic number theory and are widely used. Thus, this book will be useful to both students and researchers.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 240 pp. Englisch. …

  • Language: English

    Published by Springer,, Berlin,, 1993

    3540533451 / 9783540533450

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    xi, 222 S. Pbd. Neuwertig. dt.