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Fractional parts of Linear polynomials and an application to hypergeometric functions

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  09 April 2009

Roberto Dvornicich  and
Umberto Zannier
Roberto Dvornicich
Affiliation:
Dipartimento di Matematica via Buonarroti, 2 56127 PisaItaly e-mail: [email protected]
Umberto Zannier
Affiliation:
Istituto Universitario di Architettura D.C.A.S.Croce, 191 (Tolentini) 30135 VeneziaItaly e-mail: [email protected]
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Abstract

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Using a result on arithmetic progressions, we describe a method for finding the rational h–tuples ρ = (ρl,…,ρh) such that all the multiples mρ (for m coprime to a denominator of ρ) lie in a linear variety modulo Z. We give an application to hypergeometric functions.

MSC classification

Secondary: 11J54: Small fractional parts of polynomials and generalizations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 70 , Issue 3 , June 2001 , pp. 401 - 424
Copyright
Copyright © Australian Mathematical Society 2001

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