A short intervals result for linear equations in two prime variables.

Laporta, M. B. S.. "A short intervals result for linear equations in two prime variables.." Revista Matemática de la Universidad Complutense de Madrid 10.1 (1997): 17-30. <http://eudml.org/doc/44248>.

@article{Laporta1997,
abstract = {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).},
author = {Laporta, M. B. S.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Teoría algebraica de números; Números primos; Ecuaciones lineales; Generalización; Problema de Goldbach; generalized Goldbach conjecture; short intervals; circle method},
language = {eng},
number = {1},
pages = {17-30},
title = {A short intervals result for linear equations in two prime variables.},
url = {http://eudml.org/doc/44248},
volume = {10},
year = {1997},
}

TY - JOUR
AU - Laporta, M. B. S.
TI - A short intervals result for linear equations in two prime variables.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1997
VL - 10
IS - 1
SP - 17
EP - 30
AB - 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).
LA - eng
KW - Teoría algebraica de números; Números primos; Ecuaciones lineales; Generalización; Problema de Goldbach; generalized Goldbach conjecture; short intervals; circle method
UR - http://eudml.org/doc/44248
ER -