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  • Author or Editor: Z. Ruzsa x
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Summary  

Inspired by a paper of Srkzy [4] we study sets of integers and sets of residues with the property that all sums and all products are distinct.

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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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Concluding remark It would be interesting to know whether it is possible to generalize the method of the previous section to all commutative locally compact groups. For a long time I tried in vain to do this. Mauclaire uses a different approach. He applies the structure theory of locally compact groups to reduce the general case to certain subcases, which were studied in this paper.

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