Mean representation number of integers as the sum of primes
نویسندگان
چکیده
منابع مشابه
On the Representation of Even Integers as Sum of Two Almost Equal Primes
In this paper we generalize the Chudakov van der Corput Estermann Theorem on the exceptional set in the binary Goldbach problem to a result on the same problem with "almost equal" primes. Actually, we prove that the equation Pi +P2 = 2n is satisfied by almost ali 2ra € [N, 2N] when the primes pi and p-2 lie in the interval [n — U, n + U], with U = n^. Furthermore, we explicitly estimate the num...
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It was shown by Linnik [10] that there is an absolute constant K such that every sufficiently large even integer can be written as a sum of two primes and at most K powers of two. This is a remarkably strong approximation to the Goldbach Conjecture. It gives us a very explicit set K(x) of integers n ≤ x of cardinality only O((log x)), such that every sufficiently large even integer N ≤ x can be...
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ژورنال
عنوان ژورنال: Nagoya Mathematical Journal
سال: 2010
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000010151