Generalized Hypergeometric Functions - Couverture rigide

Dwork, Bernard

 
9780198535676: Generalized Hypergeometric Functions
Couverture rigide
ISBN 10 : 0198535678 ISBN 13 : 9780198535676
Editeur : Clarendon Press, 1990

Synopsis

Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarsky principle which expresses the analytical properties of a certain proto-gamma function. Professor Dwork develops here a theory which is broad enough to encompass several of the most important hypergeometric functions in the literature and their cohomology.

A central theme is the development of the Laplace transform in this context and its application to spaces of functions associated with hypergeometric functions. Consequently, this book represents a significant further development of the theory and demonstrates how the Boyarsky principle may be given a cohomological interpretation. The author includes an exposition of the relationship between this theory and Gauss sums and generalized Jacobi sums, and explores the theory of duality which throws new light on the theory of exponential sums and confluent hypergeometric functions.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Hypergeometric functions have occupied a significant position in mathematics for over two centuries. This monograph, by one of the foremost experts, is concerned with the Boyarsky principle which expresses the analytical properties of a certain proto-gamma function. Professor Dwork develops here a theory which is broad enough to encompass several of the most important hypergeometric functions in the literature and their cohomology. A central theme is the development of the Laplace transform in this context and its application to spaces of functions associated with hypergeometric functions. Consequently, this book represents a significant further development of the theory and demonstrates how the Boyarsky principle may be given a cohomological interpretation. The author includes an exposition of the relationship between this theory and Gauss sums and generalized Jacobi sums, and explores the theory of duality which throws new light on the theory of exponential sums and confluent hypergeometric functions.

Revue de presse

'The subject is treated from a sophisticated viewpoint appropriate for developing the arithmetic and geometric aspects of the theory of which the author is a renowned exponent. The book is wide ranging ... most interesting and informative, and clearly it is a 'must' for anyone with research interests in this general area of algebraic geometry and number theory.' C.F. Woodcock, London Mathematical Society

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

Éditeur
Clarendon Press
Date d'édition
1990
Langue
anglais
ISBN 10 
0198535678
ISBN 13 
9780198535676
Reliure
Relié
Nombre de pages
196
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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Hamburg
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