Auxiliary Polynomials in Number Theory - Couverture rigide

Livre 32 sur 46: Cambridge Tracts in Mathematics

Masser, David

 
9781107061576: Auxiliary Polynomials in Number Theory
Couverture rigide
ISBN 10 : 1107061571 ISBN 13 : 9781107061576
Editeur : Cambridge University Press, 2016

Synopsis

This unified account of various aspects of a powerful classical method, easy to understand in its simplest forms, is illustrated by applications in several areas of number theory. As well as including diophantine approximation and transcendence, which were mainly responsible for its invention, the author places the method in a broader context by exploring its application in other areas, such as exponential sums and counting problems in both finite fields and the field of rationals. Throughout the book, the method is explained in a 'molecular' fashion, where key ideas are introduced independently. Each application is the most elementary significant example of its kind and appears with detailed references to subsequent developments, making it accessible to advanced undergraduates as well as postgraduate students in number theory or related areas. It provides over 700 exercises both guiding and challenging, while the broad array of applications should interest professionals in fields from number theory to algebraic geometry.

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À propos de l'auteur

David Masser is Emeritus Professor in the Department of Mathematics and Computer Science at the University of Basel, Switzerland. He started his career with Alan Baker, which gave him a grounding in modern transcendence theory and began his fascination with the method of auxiliary polynomials. His subsequent interest in applying the method to areas outside transcendence, which involved mainly problems of zero estimates, culminated in his works with Gisbert Wüstholz on isogeny and polarization estimates for abelian varieties, for which he was elected a Fellow of the Royal Society in 2005. This expertise proved beneficial in his more recent works with Umberto Zannier on problems of unlikely intersections, where zero estimates make a return appearance.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2016
Langue
anglais
ISBN 10 
1107061571
ISBN 13 
9781107061576
Reliure
Relié
Nombre de pages
368
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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