On the differences of primes in arithmetical progressions
Martin Huxley (1969)
Acta Arithmetica
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Martin Huxley (1969)
Acta Arithmetica
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P Erdös (1959)
Acta Arithmetica
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Paul Erdös, Andrzej Schinzel (1961)
Acta Arithmetica
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S. Uchiyama (1975)
Acta Arithmetica
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Akio Fujii (1977)
Acta Arithmetica
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M. B. S. Laporta (1997)
Revista Matemática de la Universidad Complutense de Madrid
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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).
C. Hooley (1963)
Acta Arithmetica
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K. Ramachandra (1977)
Bulletin de la Société Mathématique de France
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W. Narkiewicz (1967)
Acta Arithmetica
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