Displaying similar documents to “On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems II”

On Bombieri's asymptotic sieve

John Friedlander, Henryk Iwaniec (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Goldbach numbers in sparse sequences

Jörg Brüdern, Alberto Perelli (1998)

Annales de l'institut Fourier

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We show that for almost all n N , the inequality | p 1 + p 2 - exp ( ( log n ) γ ) | < 1 has solutions with odd prime numbers p 1 and p 2 , provided 1 < γ < 3 2 . Moreover, we give a rather sharp bound for the exceptional set. This result provides almost-all results for Goldbach numbers in sequences rather thinner than the values taken by any polynomial.