Let $X$ be a large integer. We prove that, for any fixed positive integer $k$, a suitable asymptotic formula for the number of representations of an even integer $N \in [1, X]$ as the sum of two primes and $k$ powers of $2$ holds with at most $O_k(X^{3/5} (\log X)^{10})$ exceptions.
On the sum of two primes and k powers of two / LANGUASCO A; PINTZ J; ZACCAGNINI A.. - In: BULLETIN OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6093. - 39:5(2007), pp. 771-780. [10.1112/blms/bdm062]
On the sum of two primes and k powers of two
ZACCAGNINI, Alessandro
2007
Abstract
Let $X$ be a large integer. We prove that, for any fixed positive integer $k$, a suitable asymptotic formula for the number of representations of an even integer $N \in [1, X]$ as the sum of two primes and $k$ powers of $2$ holds with at most $O_k(X^{3/5} (\log X)^{10})$ exceptions.File in questo prodotto:
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