Bombieri's theorem in short intervals
A. Perelli, J. Pintz, S. Salerno (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
A. Perelli, J. Pintz, S. Salerno (1984)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Michael Filaseta (1992)
Acta Arithmetica
Similarity:
David Rodney (Roger) Heath-Brown (1985)
Revista Matemática Iberoamericana
Similarity:
The object of this paper is to present new proofs of the classical ternary theorems of additive prime number theory. Of these the best known is Vinogradov's result on the representation of odd numbers as the sums of three primes; other results will be discussed later. Earlier treatments of these problems used the Hardy-Littlewood circle method, and are highly analytical. In contrast, the method we use here is a (technically) elementary deduction from the Siegel-Walfisz Prime Number Theory....
A. Languasco (1998)
Acta Arithmetica
Similarity:
Samuel Wagstaff (1982)
Acta Arithmetica
Similarity:
M. B. S. Laporta (1997)
Revista Matemática de la Universidad Complutense de Madrid
Similarity:
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).
Martin Huxley, Matti Jutila (1977)
Acta Arithmetica
Similarity:
Alberto Perelli, János Pintz (1992)
Compositio Mathematica
Similarity: