# Goldbach numbers represented by polynomials.

Revista Matemática Iberoamericana (1996)

- Volume: 12, Issue: 2, page 477-490
- ISSN: 0213-2230

## Access Full Article

top## Abstract

top## How to cite

topPerelli, Alberto. "Goldbach numbers represented by polynomials.." Revista Matemática Iberoamericana 12.2 (1996): 477-490. <http://eudml.org/doc/39501>.

@article{Perelli1996,

abstract = {Let N be a large positive real number. It is well known that almost all even integers in the interval [N, 2N] are Goldbach numbers, i.e. a sum of two primes. The same result also holds for short intervals of the form [N, N+H], see Mikawa [4], Perelli-Pintz [7] and Kaczorowski-Perelli-Pintz [3] for the choice of admissible values of H and the size of the exceptional set in several problems in this direction.One may ask if similar results hold for thinner sequences of integers in [N, 2N], of cardinality smaller than the upper bound for the exceptional set in the above problems. In this paper we deal with the polynomial case.},

author = {Perelli, Alberto},

journal = {Revista Matemática Iberoamericana},

keywords = {Problema de Goldbach; Polinomios; Números primos; Goldbach type problems in short intervals; thin sequences},

language = {eng},

number = {2},

pages = {477-490},

title = {Goldbach numbers represented by polynomials.},

url = {http://eudml.org/doc/39501},

volume = {12},

year = {1996},

}

TY - JOUR

AU - Perelli, Alberto

TI - Goldbach numbers represented by polynomials.

JO - Revista Matemática Iberoamericana

PY - 1996

VL - 12

IS - 2

SP - 477

EP - 490

AB - Let N be a large positive real number. It is well known that almost all even integers in the interval [N, 2N] are Goldbach numbers, i.e. a sum of two primes. The same result also holds for short intervals of the form [N, N+H], see Mikawa [4], Perelli-Pintz [7] and Kaczorowski-Perelli-Pintz [3] for the choice of admissible values of H and the size of the exceptional set in several problems in this direction.One may ask if similar results hold for thinner sequences of integers in [N, 2N], of cardinality smaller than the upper bound for the exceptional set in the above problems. In this paper we deal with the polynomial case.

LA - eng

KW - Problema de Goldbach; Polinomios; Números primos; Goldbach type problems in short intervals; thin sequences

UR - http://eudml.org/doc/39501

ER -