Unit equations in diophantine number theory

By:

Evertse, Jan-Hendrik

Contributor(s):

Gyory, Kalman

Series: Cambridge studies in advanced mathematics ; 146Publication details: Cambridge University Press, 2016. Cambridge:Description: xv, 363 p. : ill. ; hb, 24 cmISBN:

9781107097605

Subject(s):

DDC classification:

512.7 EVE

Summary: Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	512.7 EVE (Browse shelf(Opens below))	1	Available		030181

Browsing IIT Gandhinagar shelves, Shelving location: General Stacks, Collection: General Close shelf browser (Hides shelf browser)

Previous								Next
Previous	512.7 DAV Multiplicative number theory	512.7 DEL St. Petersburg school of number theory	512.7 DUD Guide to elementary number theory, vol.41	512.7 EVE Unit equations in diophantine number theory	512.7 LEJ Lectures on number theory	512.7 ROS Number theory in function fields	512.7 WIL Number theory: a very short introduction	Next

Includes bibliographical references (pages 337-357) and index

Diophantine number theory is an active area that has seen tremendous growth over the past century, and in this theory unit equations play a central role. This comprehensive treatment is the first volume devoted to these equations. The authors gather together all the most important results and look at many different aspects, including effective results on unit equations over number fields, estimates on the number of solutions, analogues for function fields and effective results for unit equations over finitely generated domains. They also present a variety of applications. Introductory chapters provide the necessary background in algebraic number theory and function field theory, as well as an account of the required tools from Diophantine approximation and transcendence theory. This makes the book suitable for young researchers as well as experts who are looking for an up-to-date overview of the field.

There are no comments on this title.

to post a comment.