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Polynomials with large partial sums

✍ Scribed by D.J Newman


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
153 KB
Volume
23
Category
Article
ISSN
0021-9045

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πŸ“œ SIMILAR VOLUMES


Complete subgraphs with large degree sum
✍ Ralph J. Faudree πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 368 KB

## Abstract Let __t__(__n, k__) denote the TurΓ‘n numberβ€”the maximum number of edges in a graph on __n__ vertices that does not contain a complete graph __K__~k+1~. It is shown that if __G__ is a graph on __n__ vertices with __n__ β‰₯ __k__^2^(__k__ – 1)/4 and __m__ < __t__(__n, k__) edges, then __G__

On Exponential Sums with Sparse Polynomi
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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.

Sums of Numbers with Small Partial Quoti
✍ S. Astels πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 131 KB

For m Β₯ Z + let F(m) be the set of numbers with an infinite continued fraction expansion where all partial quotients, except possibly the first, do not exceed m. In 1975, James Hlavka conjectured that F( )+F( ) ] R. We shall disprove Hlavka's conjecture, showing that in fact F(5) Β± F(2)=R.