Fractional parts of linear polynomials and an application to hypergeometric functions

Authors
Dvornicich, R Zannier, U
Citation
R. Dvornicich et U. Zannier, Fractional parts of linear polynomials and an application to hypergeometric functions, J AUS MAT A, 70, 2001, pp. 401-423
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS
ISSN journal
02636115 → ACNP
Volume
70
Year of publication
2001
Part
3
Pages
401 - 423
Database
ISI
SICI code
0263-6115(200106)70:<401:FPOLPA>2.0.ZU;2-J
Abstract
Using a result on arithmetic progressions, we describe a method for finding the rational h-tuples rho = (rho (1),..., p(h),) such that all the multipl es m rho (for m coprime to a denominator of rho) lie in a linear variety mo dule Z. We give an application to hypergeometric functions.