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Partition Problems in Additive Number Theory

✍ Scribed by Béla Bollobás; Guoping Jin


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
866 KB
Volume
56
Category
Article
ISSN
0022-314X

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On a Problem of Erdös 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

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