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Product guide

Arithmetic Tales: Advanced Edition (Universitext), Second Edition

Universitext: Arithmetic Tales: Advanced Edition is a graduate-level textbook on analytic and multiplicative number theory. This revised second edition covers prime distribution, arithmetic functions, lattice points, exponential sums and number fields, with additional advanced topics and exercises with solutions.

At a glance

  • Covers analytic and multiplicative number theory, with emphasis on explicit results.
  • Topics include prime-number distribution, arithmetic functions, lattice points, exponential sums and number fields.
  • The listing says the book assumes undergraduate-level elementary number theory and analysis.
  • Includes exercises with solutions and discusses selected recent work, including bounded gaps between primes and methods involving the Riemann zeta function.
Price
$56.30Save 34%

Reference price: $84.99

Price checked: Nov 14, 2026

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Pros and cons

Pros

  • Broad coverage connects classical number theory topics with selected recent developments.
  • Exercises with solutions support independent study and problem practice.
  • The stated prerequisites make the book potentially approachable to readers with undergraduate number theory and analysis.

Cons

  • Its advanced subject matter and 782-page length represent a substantial commitment, especially for readers seeking an introductory treatment.

Technical specifications

9 specifications
Book details
PublisherSpringer
EditionSecond Edition 2020
Publication dateNovember 27, 2020
LanguageEnglish
Print length782 pages
ISBN-103030549453
ISBN-13978-3030549459
Dimensions and installation
Weight listed2.4 pounds
Dimensions6 x 1.75 x 9 inches

Who is it for?

A good fit for

  • Graduate students taking courses in analytic or multiplicative number theory.
  • Independent learners with undergraduate-level number theory and analysis who want a broad reference with solved exercises.

Less suited to

  • Readers seeking a brief or elementary introduction to number theory.
  • Buyers who need a book focused on a different branch of mathematics.

Customer reviews on Amazon

4 / 5 · 2 ratings
  • 5 stars51%51%
  • 4 stars0%0%
  • 3 stars49%49%
  • 2 stars0%0%
  • 1 star0%0%

Aggregate customer ratings are split between five-star and three-star categories, so they suggest differing impressions rather than a clear consensus. With only a small rating sample and no customer comments supplied, they do not establish specific strengths or shortcomings. The book’s extensive, advanced scope may suit readers seeking depth, while those wanting a concise introduction should consider its stated level and length.

Frequently asked questions

What topics does Arithmetic Tales: Advanced Edition cover?

The listing describes analytic and multiplicative number theory, including prime distribution, arithmetic functions, lattice points, exponential sums and number fields, alongside additional advanced topics.

Does the book include solutions to exercises?

Yes. The listing states that it includes exercises with solutions, supporting study beyond a taught course.

What background does the book assume?

The listing says readers should be familiar with elementary number theory and analysis at an undergraduate level.

Which edition is this?

The product details identify it as the Second Edition 2020.

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