大葉大學圖書館 |

登入

回首頁

Discriminant equations in Diophantin...

Evertse, Janj-Hendrik.

Discriminant equations in Diophantine number theory[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.74
書名/作者:	Discriminant equations in Diophantine number theory/ Janj-Hendrik Evertse, Kalman Gyory.
作者:	Evertse, Janj-Hendrik.
其他作者:	Gyory, Kalman.
出版者:	Cambridge : : Cambridge University Press,, 2017.
面頁冊數:	xviii, 457 p. : : ill., digital ;; 24 cm.
標題:	Diophantine equations.
ISBN:	9781316160763
ISBN:	9781107097612
摘要、提要註:	Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors' previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.
電子資源:	https://doi.org/10.1017/CBO9781316160763

Discriminant equations in Diophantine number theory[electronic resource] /
Evertse, Janj-Hendrik.

Discriminant equations in Diophantine number theory[electronic resource] /Janj-Hendrik Evertse, Kalman Gyory. - Cambridge :Cambridge University Press,2017. - xviii, 457 p. :ill., digital ;24 cm. - New Mathematical monographs ;32. - New Mathematical monographs ;32..

Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors' previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.

ISBN: 9781316160763Subjects--Topical Terms:

572212
Diophantine equations.

LC Class. No.: QA242 / .E84 2017

Dewey Class. No.: 512.74

Discriminant equations in Diophantine number theory[electronic resource] /
LDR:01780nmm a2200253 a 4500 001 491834
003 UkCbUP
005 20191005161315.0
006 m d
007 cr nn 008maaau
008 210201s2017 enk o 1 0 eng d
020 $a 9781316160763 $q (electronic bk.)
020 $a 9781107097612 $q (paper)
035 $a CR9781316160763
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA242 $b .E84 2017
082 0 4 $a 512.74 $2 23
090 $a QA242 $b .E93 2017
100 1 $a Evertse, Janj-Hendrik. $3 711604
245 1 0 $a Discriminant equations in Diophantine number theory $h [electronic resource] / $c Janj-Hendrik Evertse, Kalman Gyory.
260 $a Cambridge : $b Cambridge University Press, $c 2017.
300 $a xviii, 457 p. : $b ill., digital ; $c 24 cm.
490 1 $a New Mathematical monographs ; $v 32
520 $a Discriminant equations are an important class of Diophantine equations with close ties to algebraic number theory, Diophantine approximation and Diophantine geometry. This book is the first comprehensive account of discriminant equations and their applications. It brings together many aspects, including effective results over number fields, effective results over finitely generated domains, estimates on the number of solutions, applications to algebraic integers of given discriminant, power integral bases, canonical number systems, root separation of polynomials and reduction of hyperelliptic curves. The authors' previous title, Unit Equations in Diophantine Number Theory, laid the groundwork by presenting important results that are used as tools in the present book. This material is briefly summarized in the introductory chapters along with the necessary basic algebra and algebraic number theory, making the book accessible to experts and young researchers alike.
650 0 $a Diophantine equations. $3 572212
700 1 $a Gyory, Kalman. $3 711605
830 0 $a New Mathematical monographs ; $v 32. $3 711606
856 4 0 $u https://doi.org/10.1017/CBO9781316160763

筆 0 讀者評論

多媒體

多媒體檔案
https://doi.org/10.1017/CBO9781316160763

評論

新增評論分享你的心得

Export

取書館別