Basic Analytic Number Theory

Basic Analytic Number Theory

Anatolij A. Karatsuba / M.B. Nathanson

103,42 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2012
ISBN:
9783642634369
103,42 €
IVA incluido
Disponible

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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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Otros libros del autor

  • Basic Analytic Number Theory
    Anatolij A. Karatsuba / M.B. Nathanson
    I. Integer Points.- §1. Statement of the Problem, Auxiliary Remarks, and the Simplest Results.- §2. The Connection Between Problems in the Theory of Integer Points and Trigonometric Sums.- §3. Theorems on Trigonometric Sums.- §4. Integer Points in a Circle and Under a Hyperbola.- Exercises.- II. Entire Functions of Finite Order.- §1. Infinite Products. Weierstrass’s Formula.- §...