Overview
- 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
Part of the book series: Universitext (UTX)
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Table of contents (7 chapters)
Keywords
About this book
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.
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Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Arithmetic Tales
Book Subtitle: Advanced Edition
Authors: Olivier Bordellès
Translated by: Véronique Bordellès
Series Title: Universitext
DOI: https://doi.org/10.1007/978-3-030-54946-6
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-54945-9Published: 27 November 2020
eBook ISBN: 978-3-030-54946-6Published: 26 November 2020
Series ISSN: 0172-5939
Series E-ISSN: 2191-6675
Edition Number: 2
Number of Pages: XIX, 782
Number of Illustrations: 3 b/w illustrations, 5 illustrations in colour
Topics: Number Theory, Mathematics, general