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ON THE SIZE OF DIOPHANTINE M-TUPLES FOR LINEAR POLYNOMIALS.

Authors :
FILIPIN, A.
JURASIĆ, A.
Source :
Miskolc Mathematical Notes. 2016, Vol. 17 Issue 2, p861-876. 16p.
Publication Year :
2016

Abstract

In this paper we prove that there does not exist a set with more than 16 nonzero polynomials in 핂[X], where 핂 is any field of characteristic 0, such that the product of any two of them increased by a linear polynomial n ∊ 핂[X] is a square of a polynomial from 핂[X]. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
17872405
Volume :
17
Issue :
2
Database :
Academic Search Index
Journal :
Miskolc Mathematical Notes
Publication Type :
Academic Journal
Accession number :
123829754
Full Text :
https://doi.org/10.18514/MMN.2016.