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Bestseller
Author
Masser, David William, 1948-
Title
Auxiliary polynomials in number theory / David Masser, Universitat Basel, Switzerland.
Publication Info.
Cambridge : Cambridge University Press, 2016.
Online access
Online ebook via EBSCO. Access restricted to current Rider University students, faculty, and staff.
Instructions for reading/downloading the EBSCO version of this ebook
Item Status
Description
1 online resource.
text file
Series
Cambridge Tracts in Mathematics ; 207
Cambridge tracts in mathematics ; 207.
Contents
Cover ; Half-title ; Series information ; Title page ; Copyright information ; Table of contents ; Introduction; 1 Prologue; 2 Irrationality I; 3 Irrationality II -- Mahler's Method; 4 Diophantine equations -- Runge's Method; 5 Irreducibility; 6 Elliptic curves -- Stepanov's Method; 7 Exponential sums; 8 Irrationality measures I -- Mahler; 9 Integer-valued entire functions I -- Pólya; 10 Integer-valued entire functions II -- Gramain; 11 Transcendence I -- Mahler; 12 Irrationality measures II -- Thue; 13 Transcendence II -- Hermite-Lindemann; 14 Heights; 15 Equidistribution -- Bilu.
16 Height lower bounds -- Dobrowolski17 Height upper bounds; 18 Counting -- Bombieri-Pila; 19 Transcendence III -- Gelfond-Schneider-Lang; 20 Elliptic functions; 21 Modular functions; 22 Algebraic independence; Appendix: Néron's square root; References; Index.
Summary
A unified account of a powerful classical method, illustrated by applications in number theory. Aimed at graduates and professionals.
Bibliography
Includes bibliographical references (pages 334-340) and index.
Local Note
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject
Number theory.
Number theory.
Polynomials.
Polynomials.
MATHEMATICS -- Algebra -- Intermediate.
Genre/Form
Electronic books.
Other Form:
Print version: Masser, David William, 1948- Auxiliary polynomials in number theory. Cambridge : Cambridge University Press, 2016 9781107061576 1107061571 (DLC) 2015050947 (OCoLC)934192216
ISBN
9781316677995 (electronic book)
1316677990 (electronic book)
9781107448018
1107448018
9781316678176
1316678172
9781316676875
1316676870
9781107061576 (hardback ; alkaline paper)
1107061571 (hardback ; alkaline paper)