Goldbach numbers represented by polynomials.

Alberto Perelli

Revista Matemática Iberoamericana (1996)

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

Abstract

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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.

How to cite

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Perelli, 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 -

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