On the fundamental metric theorems of additive number theory
β Scribed by Robert D Stalley
- Publisher
- Elsevier Science
- Year
- 1970
- Tongue
- English
- Weight
- 309 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0022-314X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
We would like to take this opportunity to express continuing respect and affection for our colleague, Harold Grad, on the occasion of his sixtieth birthday. Perhaps it is not inappropriate to apologize for the fact that this humble offering comes from the other side (the wrong side?) of the mathemat
The aim of this paper is to show that for any n Β₯ N, n > 3, there exist a, b Β₯ N\* such that n=a+b, the ''lengths'' of a and b having the same parity (see the text for the definition of the ''length'' of a natural number). Also we will show that for any n Β₯ N, n > 2, n ] 5, 10, there exist a, b Β₯ N\