p-Adic Methods and Their Applications (Hardcover)

Andrew J. Baker

ISBN 10: 0198535945 / ISBN 13: 9780198535942

Editore: Oxford University Press, Oxford, 1992

Riguardo questo articolo

Hardcover. A number of texts have recently become available which provide good general introductions to p-Adic numbers and p-Adic analysis. However, there is at present a gap between such books and the sophisticated applications in the research literature. The aim of this book is to bridge this gulf by providing a collection of intermediate level articles on various applications of p-Adic techniques throughout mathematics. The idea for producing such avolume was suggested by Oxford University Press in connection with a three day meeting `p-Adic Methods and their Applications' held at Manchester University in September 1989 and which have receivedfinancial support from the London Mathematical Society. Some of these articles grew out of talks given at this conference, others were written by invitation especially for this volume. All contributions were refereed with a particular view to their suitability for inclusion in such a book. A number of texts have recently become available which provide good general introductions to p-Adic numbers and p-Adic analysis. However, there is at present a gap between such books and the sophisticated applications in the research literature. This book bridges this gulf by providing a collection of intermediate level articles on various applications of p-Adic techniques throughout mathematics. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.

Codice articolo 9780198535942

Dati bibliografici

• Titolo: p-Adic Methods and Their Applications (Hardcover)
• Editore: Oxford University Press, Oxford
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 0198535945
• ISBN 13: 9780198535942
• Rilegatura: Hardcover
• Condizione: new

Descrizione articolo

Riassunto

A number of texts have recently become available which provide good general introductions to p-Adic numbers and p-Adic analysis. However, there is at present a gap between such books and the sophisticated applications in the research literature. The aim of this book is to bridge this gulf by providing a collection of intermediate level articles on various applications of p-Adic techniques throughout mathematics.

The idea for producing such a volume was suggested by Oxford University Press in connection with a three day meeting `p-Adic Methods and their Applications' held at Manchester University in September 1989 and which have received financial support from the London Mathematical Society. Some of these articles grew out of talks given at this conference, others were written by invitation especially for this volume. All contributions were refereed with a particular view to their suitability for inclusion in such a book.

Contenuti

Preface; Dedication to the memory of K. Mahler; Conventions and notations;Francis Clarke: The Gray Code Function; Marcus P.F. Du Sautoy: Applications of p-Adic methods to group theory; G.R. Everest: Applications of the p-Adic subspace theorem; Manchester School of P-Adic Analysis: Out of the p-Adic into the real; R.J. Plymen: Coupling constants for p-Adic groups; Paulo Ribenboim: The local fermat problem; Freydoon Shahidi: L-Functions and representation of p-Adic groups; David R. Solom: Iwasawa theory, factorizability and the Galois module structure of units; Alain Valette: Weak forms of amenability for split rank 1 p-Adic groups; C.F. Woodcock: p-Adic Fourier series.