Problem Books in Mathematics

Steps into Analytic Number Theory

A Problem-Based Introduction

Authors: Pollack, Paul, Singha Roy, Akash

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  • Challenges students ranging from high school to graduate levels to develop problem-solving skills in analytic number theory 
  • Balances elementary yet ingenious problems with applications not usually seen in classes
  • Suitable as a rich supplementary text in Analytic Number Theory for undergraduate and graduate courses
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eBook 42,79 €
price for Spain (gross)
  • ISBN 978-3-030-65077-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-65076-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

This problem book gathers together 15 problem sets on analytic number theory that can be profitably approached by anyone from advanced high school students to those pursuing graduate studies. It emerged from a 5-week course taught by the first author as part of the 2019 Ross/Asia Mathematics Program held from July 7 to August 9 in Zhenjiang, China.

While it is recommended that the reader has a solid background in mathematical problem solving (as from training for mathematical contests), no possession of advanced subject-matter knowledge is assumed. Most of the solutions require nothing more than elementary number theory and a good grasp of calculus. Problems touch at key topics like the value-distribution of arithmetic functions, the distribution of prime numbers, the distribution of squares and nonsquares modulo a prime number, Dirichlet's theorem on primes in arithmetic progressions, and more.

This book is suitable for any student with a special interest in developing problem-solving skills in analytic number theory. It will be an invaluable aid to lecturers and students as a supplementary text for introductory Analytic Number Theory courses at both the undergraduate and graduate level.


About the authors

Paul Pollack is a Professor at the University of Georgia, USA.
Akash Singha Roy is an undergraduate student at the Chennai Mathematical Institute, India.

Table of contents (31 chapters)

Table of contents (31 chapters)

Buy this book

eBook 42,79 €
price for Spain (gross)
  • ISBN 978-3-030-65077-3
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-030-65076-6
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions & severe weather in the US may cause delays
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Steps into Analytic Number Theory
Book Subtitle
A Problem-Based Introduction
Authors
Series Title
Problem Books in Mathematics
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-65077-3
DOI
10.1007/978-3-030-65077-3
Hardcover ISBN
978-3-030-65076-6
Series ISSN
0941-3502
Edition Number
1
Number of Pages
XIII, 197
Number of Illustrations
3 b/w illustrations
Topics