On the differences of primes in arithmetical progressions
Martin Huxley (1969)
Acta Arithmetica
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Displaying similar documents to “A note on some properties of the functions φ (n), σ(n) and θ(n)”
On the differences of primes in arithmetical progressions
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Given A and B integers relatively prime, we prove that almost all integers n in an interval of the form [N, N+H], where N exp(1/3+e) ≤ H ≤ N can be written as a sum Ap1 + Bp2 = n, with p1 and p2 primes and e an arbitrary positive constant. This generalizes the results of Perelli et al. (1985) established in the classical case A=B=1 (Goldbach's problem).
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