𝔖 Bobbio Scriptorium
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Polynomials and rational functions

✍ Scribed by Dyer, S.A.; Dyer, J.S.


Book ID
119783010
Publisher
IEEE
Year
1999
Tongue
English
Weight
280 KB
Volume
2
Category
Article
ISSN
1094-6969

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πŸ“œ SIMILAR VOLUMES


A Combinatorial Problem on Polynomials a
✍ GyΓΆrgy Elekes; Lajos RΓ³nyai πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 190 KB

The structure of rational functions of two real variables which take few distinct values on large (finite) Cartesian products is described. As an application, a problem of G. Purdy is solved on finite subsets of the plane which determine few distinct distances.

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We obtain estimates of complete rational exponentials sums with sparse polynomials and rational functions f (x)=a 1 x r1 + } } } +a t x rt depending on the number of non zero coefficients t rather than on the degree.