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A lattice point problem and additive number theory

✍ Scribed by Noga Alon; Moshe Dubiner


Publisher
Springer-Verlag
Year
1995
Tongue
English
Weight
426 KB
Volume
15
Category
Article
ISSN
0209-9683

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On a Problem of ErdΓΆs in Additive Number
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In 1954 Lorentz and Erdo s showed that there are very thin sets of positive integers complementary to the set of primes. In particular, there is an A N with (ii) every n n 0 can be written as n=a+ p, a # A, p prime. Erdo s conjectured that the bound (i) could be sharpened to o(ln 2 x) or even O(ln