Arithmetic Tales: Advanced Edition

This textbook covers a wide range of topics in analytic and multiplicative number theory, suitable for graduate-level courses. It has been extensively revised and extended, with a deeper treatment of advanced topics and recent work on various topics. The emphasis is on explicit results, and it is now an even better guide for independent study with 50% more exercises and solutions.

\n Format: Paperback / softback
\n Length: 782 pages
\n Publication date: 27 November 2020
\n Publisher: Springer Nature Switzerland AG
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This comprehensive textbook spans a wide range of topics in analytic and multiplicative number theory, making it suitable for advanced graduate-level courses. Extensively revised and expanded, this advanced edition delves deeper into the subject, offering a more comprehensive treatment of more advanced topics. The core themes of prime number distribution, arithmetic functions, lattice points, exponential sums, and number fields have been expanded to include numerous details and additional topics. In addition to covering a diverse array of classical and standard results, the book also discusses recent work on various subjects, such as arithmetic functions of multiple variables, bounded gaps between prime numbers, 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 presenting explicit results.

Assuming a basic understanding of elementary number theory and analysis at the undergraduate level, this textbook serves as an accessible entry point into a vibrant and active field of number theory. Boasting an abundance of new topics and 50% more exercises, all accompanied by solutions, it has been enhanced to become an even more effective guide for independent study.

\n Weight: 1212g\n
Dimension: 188 x 426 x 54 (mm)\n
ISBN-13: 9783030549459\n
Edition number: 2nd ed. 2020\n