Arithmetic tales

Author(s)

    • Bordellès, Olivier

Bibliographic Information

Arithmetic tales

Olivier Bordellès ; [translated by Véronique Bordellès]

(Universitext)

Springer, c2020

Advanced ed

Available at  / 14 libraries

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Note

"2nd ed."--Spine

Includes bibliographical references and index

Description and Table of Contents

Description

This textbook covers a wide array of topics in analytic and multiplicative number theory, suitable for graduate level courses.Extensively revised and extended, this Advanced Edition takes a deeper dive into the subject, with the elementary topics of the previous edition making way for a fuller treatment of more advanced topics. The core themes of the distribution of prime numbers, arithmetic functions, lattice points, exponential sums and number fields now contain many more details and additional topics. In addition to covering a range of classical and standard results, some recent work on a variety of topics is discussed in the book, including arithmetic functions of several variables, bounded gaps between prime numbers a la Yitang Zhang, Mordell's method for exponential sums over finite fields, the resonance method for the Riemann zeta function, the Hooley divisor function, and many others. Throughout the book, the emphasis is on explicit results. Assuming only familiarity with elementary number theory and analysis at an undergraduate level, this textbook provides an accessible gateway to a rich and active area of number theory. With an abundance of new topics and 50% more exercises, all with solutions, it is now an even better guide for independent study.

Table of Contents

1 Basic Tools.- 2 Linear Diophantine Equations.- 3 Prime Numbers.- 4 Arithmetic Functions.- 5 Lattice Points.- 6 Exponential Sums.- 7 Algebraic Number Fields. Hints and Answers to Exercises.- Index.

by "Nielsen BookData"

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Details

  • NCID
    BC04461309
  • ISBN
    • 9783030549459
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham
  • Pages/Volumes
    xix, 782 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
  • Parent Bibliography ID
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