Full paper in PDF:
$%M. B. S. Laporta, A short intervals result for linear equations in two prime variables, Rev. Mat. Univ. Complut. Madrid 10 (1997), no. 1, 17–30.%$

Given and integers relatively prime, we prove that almost all integers in an interval of the form , where can be written as a sum , with and primes and an arbitrary positive constant. This generalizes the results of Perelli et al. (1985) established in the classical case (Goldbach’s problem).

1991 Mathematics Subject Classification: 11P32.