An almost polynomial Sidon sequence

Imre Z. Ruzsa

doi:10.1556/sscmath.38.2001.1-4.27

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 38: Issue 1-4

An almost polynomial Sidon sequence

Author:

Imre Z. Ruzsa

Imre Z. Ruzsa Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences Reáltanoda u. 13-15. 1053 Budapest

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Pages:: 367–376

Online Publication Date:: 22 Jul 2005

Publication Date:: 01 May 2001

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.38.2001.1-4.27

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It is a classical unsolved problem whether there is a polynomial with integral coef- ficients whose values at natural numbers form a Sidon set. In this note we prove the existence of a polynomial of degree 5, with real coeficients, such that the integer parts of the values form a Sidon set.

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Studia Scientiarum Mathematicarum Hungarica

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Studia Scientiarum Mathematicarum Hungarica
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