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A problem on the additive theory of number of several variables

✍ Scribed by Loo-keng Hua

Publisher
Springer-Verlag
Year
1936
Tongue
French
Weight
146 KB
Volume
41
Category
Article
ISSN
0025-5874

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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