Store besparelser
Hurtig levering
Gemte
Log ind
0
Kurv
Bøger
Bestsellers
Kommer snart
Nyheder
Spil og hobby
Hjem
Kategorier
Bestsellers
Kommer snart
Nyheder
FAQ
Konto
Kontakt
Kurv
  1. Bog
  2. Regning og matematisk analyse
  3. Differentialregning & ligninger

An Introduction to G-Functions

Af: Bernard Dwork, Giovanni Gerotto, Francis J. Sullivan Engelsk Paperback

An Introduction to G-Functions

Af: Bernard Dwork, Giovanni Gerotto, Francis J. Sullivan Engelsk Paperback
Tjek vores konkurrenters priser

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.

Vis mere
Tjek vores konkurrenters priser
Normalpris
kr 1.044
Fragt: 39 kr
6 - 8 hverdage
20 kr
Pakkegebyr
God 4 anmeldelser på
Tjek vores konkurrenters priser

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.

Vis mere
Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 352
ISBN-13: 9780691036816
Indbinding: Paperback
Udgave:
ISBN-10: 0691036810
Kategori: Differentialregning & ligninger
Udg. Dato: 22 maj 1994
Længde: 0mm
Bredde: 197mm
Højde: 254mm
Forlag: Princeton University Press
Oplagsdato: 22 maj 1994
Forfatter(e): Bernard Dwork, Giovanni Gerotto, Francis J. Sullivan
Forfatter(e) Bernard Dwork, Giovanni Gerotto, Francis J. Sullivan

Kategori Differentialregning & ligninger

ISBN-13 9780691036816

Sprog Engelsk

Indbinding Paperback

Sider 352

Udgave

Længde 0mm

Bredde 197mm

Højde 254mm

Udg. Dato 22 maj 1994

Oplagsdato 22 maj 1994

Forlag Princeton University Press

Kategori sammenhænge