Sinossi
Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebraic number field K. These series satisfy a linear differential equation Ly=0 with LIK(x) [d/dx] and have non-zero radii of convergence for each imbedding of K into the complex numbers. They have the further property that the common denominators of the first s coefficients go to infinity geometrically with the index s. After presenting a review of valuation theory and elementary p-adic analysis together with an application to the congruence zeta function, this book offers a detailed study of the p-adic properties of formal power series solutions of linear differential equations. In particular, the p-adic radii of convergence and the p-adic growth of coefficients are studied. Recent work of Christol, Bombieri, André, and Dwork is treated and augmented. The book concludes with Chudnovsky's theorem: the analytic continuation of a G -series is again a G -series. This book will be indispensable for those wishing to study the work of Bombieri and André on global relations and for the study of the arithmetic properties of solutions of ordinary differential equations.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull?autore
Bernard Dwork is Professor of Mathematics at Princeton University. Giovanni Gerotto and Francis J. Sullivan are Associate Professors of Mathematics at the University of Padova.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Risultati della ricerca per An Introduction to G-Functions. (AM 133)
Foto dell'editore
An Introduction to G-Functions. (Am 133) (Annals of Mathematics Studies, 133)
Editore:
Princeton University Press, 1994
ISBN 10: 0691036810
ISBN 13: 9780691036816
Antico o usato
Brossura
Da: Anybook.com, Lincoln, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:9780691036816. Codice articolo 3736641
Compra usato
EUR 81,53
Spedizione EUR 15,74
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Introduction to G-Functions
Editore:
Princeton University Press, 1994
ISBN 10: 0691036810
ISBN 13: 9780691036816
Antico o usato
Brossura
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: As New. Unread book in perfect condition. Codice articolo 401423
Compra usato
EUR 108,70
Spedizione EUR 2,29
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 2 disponibili
Foto dell'editore
An Introduction to G-Functions. (AM-133), Volume 133
Da: Kennys Bookshop and Art Galleries Ltd., Galway, GY, Irlanda
Valutazione del venditore 5 su 5 stelle
Condizione: New. 1994. Paperback. . . . . . Codice articolo V9780691036816
Compra nuovo
EUR 103,45
Spedizione EUR 10,50
Spedito da Irlanda a U.S.A.
Spedito da Irlanda a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Introduction to G-Functions
Da: GreatBookPrices, Columbia, MD, U.S.A.
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 401423-n
Compra nuovo
EUR 114,24
Spedizione EUR 2,29
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 2 disponibili
Foto dell'editore
An Introduction to G-Functions
Da: PBShop.store UK, Fairford, GLOS, Regno Unito
Valutazione del venditore 5 su 5 stelle
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691036816
Compra nuovo
EUR 114,45
Spedizione EUR 5,81
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 2 disponibili
Foto dell'editore
An Introduction to G-Functions
Da: PBShop.store US, Wood Dale, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691036816
Compra nuovo
EUR 124,37
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Immagini fornite dal venditore
An Introduction to G-Functions
Editore:
Princeton University Press, US, 1994
ISBN 10: 0691036810
ISBN 13: 9780691036816
Nuovo
Paperback
Da: Rarewaves USA, OSWEGO, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebraic number field K. These series satisfy a linear differential equation Ly=0 with LIK(x) [d/dx] and have non-zero radii of convergence for each imbedding of K into the complex numbers. They have the further property that the common denominators of the first s coefficients go to infinity geometrically with the index s. After presenting a review of valuation theory and elementary p-adic analysis together with an application to the congruence zeta function, this book offers a detailed study of the p-adic properties of formal power series solutions of linear differential equations. In particular, the p-adic radii of convergence and the p-adic growth of coefficients are studied. Recent work of Christol, Bombieri, Andre, and Dwork is treated and augmented. The book concludes with Chudnovsky's theorem: the analytic continuation of a G -series is again a G -series.This book will be indispensable for those wishing to study the work of Bombieri and Andre on global relations and for the study of the arithmetic properties of solutions of ordinary differential equations. Codice articolo LU-9780691036816
Compra nuovo
EUR 126,63
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: Più di 20 disponibili
Foto dell'editore
Introduction to G-Functions
Editore:
Princeton University Press, 1994
ISBN 10: 0691036810
ISBN 13: 9780691036816
Antico o usato
Brossura
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: As New. Unread book in perfect condition. Codice articolo 401423
Compra usato
EUR 110,34
Spedizione EUR 17,36
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 2 disponibili
Immagini fornite dal venditore
An Introduction to G-Functions
Editore:
Princeton University Press, US, 1994
ISBN 10: 0691036810
ISBN 13: 9780691036816
Nuovo
Paperback
Da: Rarewaves.com USA, London, LONDO, Regno Unito
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: New. Written for advanced undergraduate and first-year graduate students, this book aims to introduce students to a serious level of p-adic analysis with important implications for number theory. The main object is the study of G-series, that is, power series y=aij=0 Ajxj with coefficients in an algebraic number field K. These series satisfy a linear differential equation Ly=0 with LIK(x) [d/dx] and have non-zero radii of convergence for each imbedding of K into the complex numbers. They have the further property that the common denominators of the first s coefficients go to infinity geometrically with the index s. After presenting a review of valuation theory and elementary p-adic analysis together with an application to the congruence zeta function, this book offers a detailed study of the p-adic properties of formal power series solutions of linear differential equations. In particular, the p-adic radii of convergence and the p-adic growth of coefficients are studied. Recent work of Christol, Bombieri, Andre, and Dwork is treated and augmented. The book concludes with Chudnovsky's theorem: the analytic continuation of a G -series is again a G -series.This book will be indispensable for those wishing to study the work of Bombieri and Andre on global relations and for the study of the arithmetic properties of solutions of ordinary differential equations. Codice articolo LU-9780691036816
Compra nuovo
EUR 128,66
Spedizione gratuita
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Introduction to G-Functions
Da: GreatBookPricesUK, Woodford Green, Regno Unito
Valutazione del venditore 5 su 5 stelle
Condizione: New. Codice articolo 401423-n
Compra nuovo
EUR 112,49
Spedizione EUR 17,36
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 2 disponibili