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Universitext
cover

Arithmetic Tales

Advanced Edition

Authors: Bordellès, Olivier

  • Extensively rewritten new edition covering more advanced as well as recent results
  • Provides a self-contained introduction to multiplicative number theory
  • Includes over 150 exercises, with hints and solutions
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eBook 58,84 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 9, 2021
  • ISBN 978-3-030-54946-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 72,79 €
price for Spain (gross)
About this Textbook

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 à 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.

About the authors

Olivier Bordellès has been an independent researcher in number theory for 15 years, essentially working in multiplicative number theory and the links between algebraic number theory and analytic number theory.

Véronique Bordellès is an English teacher who has translated several books in maths and science. She holds a BA in linguistics from the University of Manchester (UK) and also completed a Master's thesis in linguistics.

Buy this book

eBook 58,84 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: January 9, 2021
  • ISBN 978-3-030-54946-6
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Softcover 72,79 €
price for Spain (gross)
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Bibliographic Information

Bibliographic Information
Book Title
Arithmetic Tales
Book Subtitle
Advanced Edition
Authors
Translated by
Bordellès, V.
Series Title
Universitext
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-54946-6
DOI
10.1007/978-3-030-54946-6
Softcover ISBN
978-3-030-54945-9
Series ISSN
0172-5939
Edition Number
2
Number of Pages
X, 726
Number of Illustrations
6 b/w illustrations
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works and instructor copies are not included.