Problems and results on additive properties of general sequences,V |
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| Authors: | P Erdös A Sárközy V T Sós |
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| Institution: | (1) Mathematical Institute, Hungarian Academy of Sciences, Realtanoda u. 13-15, Budapest, Hungary |
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| Abstract: | A very special case of one of the theorems of the authors states as follows: Let 1 a
1a
2... be an infinite sequence of integers for which all the sumsa
i
+a
j
, 1ij, are distinct. Then there are infinitely many integersk for which 2k can be represented in the forma
i
+a
j
but 2k+1 cannot be represented in this form. Several unsolved problems are stated.Dedicated to our friend Professor E. Hlawka on the occasion of his seventieth birthday |
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