東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Arithmetic tales = advanced edition /

Bordelles, Olivier.

Linked to FindBook

Google Book

Amazon

博客來

Arithmetic tales = advanced edition /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Arithmetic tales/ by Olivier Bordelles.
Reminder of title:	advanced edition /
Author:	Bordelles, Olivier.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xix, 782 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Number theory. -
Online resource:	https://doi.org/10.1007/978-3-030-54946-6
ISBN:	9783030549466

Arithmetic tales = advanced 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

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

515832
Number theory.

LC Class. No.: QA241 / .B6713 2020

Dewey Class. No.: 512.7

Arithmetic tales = advanced edition /
LDR:02544nmm a2200349 a 4500 001 2257176
003 DE-He213
005 20210312095249.0
006 m d
007 cr nn 008maaau
008 220420s2020 sz s 0 eng d
020 $a 9783030549466 $q (electronic bk.)
020 $a 9783030549459 $q (paper)
024 7 $a 10.1007/978-3-030-54946-6 $2 doi
035 $a 978-3-030-54946-6
040 $a GP $c GP
041 1 $a eng $h fre
050 4 $a QA241 $b .B6713 2020
072 7 $a PBH $2 bicssc
072 7 $a MAT022000 $2 bisacsh
072 7 $a PBH $2 thema
082 0 4 $a 512.7 $2 23
090 $a QA241 $b .B727 2020
100 1 $a Bordelles, Olivier. $3 3528140
240 1 0 $a Themes d'arithmetiques. $l English
245 1 0 $a Arithmetic tales $h [electronic resource] : $b advanced edition / $c by Olivier Bordelles.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xix, 782 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
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.
650 0 $a Number theory. $3 515832
650 1 4 $a Number Theory. $3 891078
650 2 4 $a Mathematics, general. $3 895821
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Universitext. $3 812115
856 4 0 $u https://doi.org/10.1007/978-3-030-54946-6
950 $a Mathematics and Statistics (SpringerNature-11649)