An Introduction To G–Functions (Annals of Mathematics Studies, 133) - Image 1

£56.00

Princeton University Press An Introduction To G–Functions (Annals of Mathematics Studies, 133)

Name: An Introduction To G-Functions (Annals of Mathematics Studies, 133)
Brand: Princeton University Press
Price: 56.0 GBP
Availability: InStock

Differential Equations

It has never been this cheap. We have no record of a lower price.

£56 today · cheaper than every other day in the last 3 months

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 70 days · 70 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 70 days • 1 price levels

Days at Price

Price Analysis

Most common price: £56 (70 days, 100.0%)

Price range: £56 - £56

Price levels: 1 different prices over 70 days

Description

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. Review "[This book] is well suited for a graduate course, its value as a textbook being enhanced by working out several concrete examples and counterexamples of the phenomena studied in the book." --Mathematical Reviews About the Author 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.

Product Specifications

Brand: Princeton University Press
Format: hardcover
ASIN: 0691036756
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Differential Equations
Domain: Amazon UK
Release Date: 10 August 1994
Listed Since: 13 February 2007

Barcode

No barcode data available

Princeton University Press An Introduction To G–Functions (Annals of Mathematics Studies, 133)

It has never been this cheap. We have no record of a lower price.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Multiple Dirichlet Series, Automorphic Forms, and Analytic Number Theory (Proceedings of Symposia in Pure Mathematics): Proceedings of the Bretton ... Bretton Woods, New Hampshire July 11-14, 2005

Foundations of Analysis over Surreal Number Fields (Volume 141) (North-Holland Mathematics Studies, Volume 141)

From Bessel to Multi-Index MittagLeffler Functions: Enumerable Families, Series in them and Convergence

Theory of Infinite Sequences and Series

Foundations of Analysis Over Surreal Number Fields

Quasipower Series and Quasianalytic Classes of Functions (Translations of Mathematical Monographs)

LMS: 46 P Adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46)

Modern Analysis of Automorphic Forms By Example: Volume 1 (Cambridge Studies in Advanced Mathematics)

Invitation to Classical Analysis (Pure and Applied Undergraduate Texts)

Topological Galois Theory: Solvability and Unsolvability of Equations in Finite Terms (Springer Monographs in Mathematics)

Differential Galois Theory Through Riemann-Hilbert Correspondence: An Elementary Introduction (Graduate Studies in Mathematics)

Elementary Theory of L-functions and Eisenstein Series: 26 (London Mathematical Society Student Texts, Series Number 26)

Problems and Solutions for Complex Analysis

Hypergeometric Orthogonal Polynomials and Their q-Analogues (Springer Monographs in Mathematics)

Mathematical Analysis: Approximation and Discrete Processes

Analysis in Positive Characteristic: 178 (Cambridge Tracts in Mathematics, Series Number 178)

Dynamics in One Non-Archimedean Variable

Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics): 122

Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics: 4 (Developments in Mathematics, 4)

Relative Trace Formulas (Simons Symposia)

A Short Book on Long Sums: Infinite Series for Calculus Students (Undergraduate Texts in Mathematics)