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Arithmetic talesadvanced edition /

Bordelles, Olivier.

Arithmetic talesadvanced edition /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Arithmetic talesby Olivier Bordelles.
Reminder of title:	advanced edition /
Author:	Bordelles, Olivier.
Published:	Cham :Springer International Publishing :2020.
Description:	xix, 782 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Number theory.
Online resource:	https://doi.org/10.1007/978-3-030-54946-6
ISBN:	9783030549466$q(electronic bk.)

Arithmetic talesadvanced edition /
Bordelles, Olivier.

Arithmetic talesadvanced edition /[electronic resource] :by Olivier Bordelles. - Cham :Springer International Publishing :2020. - xix, 782 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

1 Basic Tools -- 2 Linear Diophantine Equations -- 3 Prime Numbers -- 4 Arithmetic Functions -- 5 Lattice Points -- 6 Exponential Sums -- 7 Algebraic Number Fields. Hints and Answers to Exercises -- Index.

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 a 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.

ISBN: 9783030549466$q(electronic bk.)

Standard No.: 10.1007/978-3-030-54946-6doiSubjects--Topical Terms:

189521
Number theory.

LC Class. No.: QA241 / .B6713 2020

Dewey Class. No.: 512.7

Arithmetic talesadvanced edition /
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505 0 $a 1 Basic Tools -- 2 Linear Diophantine Equations -- 3 Prime Numbers -- 4 Arithmetic Functions -- 5 Lattice Points -- 6 Exponential Sums -- 7 Algebraic Number Fields. Hints and Answers to Exercises -- Index.
520 $a 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 a 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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