A conditional result on Goldbach numbers in short intervals

A. Languasco

Acta Arithmetica (1998)

  • Volume: 83, Issue: 2, page 93-103
  • ISSN: 0065-1036

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A. Languasco. "A conditional result on Goldbach numbers in short intervals." Acta Arithmetica 83.2 (1998): 93-103. <http://eudml.org/doc/207117>.

@article{A1998,
author = {A. Languasco},
journal = {Acta Arithmetica},
keywords = {short intervals; Goldbach numbers; Goldbach problem; generalized Riemann hypothesis},
language = {eng},
number = {2},
pages = {93-103},
title = {A conditional result on Goldbach numbers in short intervals},
url = {http://eudml.org/doc/207117},
volume = {83},
year = {1998},
}

TY - JOUR
AU - A. Languasco
TI - A conditional result on Goldbach numbers in short intervals
JO - Acta Arithmetica
PY - 1998
VL - 83
IS - 2
SP - 93
EP - 103
LA - eng
KW - short intervals; Goldbach numbers; Goldbach problem; generalized Riemann hypothesis
UR - http://eudml.org/doc/207117
ER -

References

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  1. [1] H. Davenport, Multiplicative Number Theory, 2nd ed., Springer, 1980. Zbl0453.10002
  2. [2] J. B. Friedlander and D. A. Goldston, Some singular series averages and the distribution of Goldbach numbers in short intervals, Illinois J. Math. 39 (1995), 158-180. Zbl0814.11048
  3. [3] D. A. Goldston, Linnik's theorem on Goldbach numbers in short intervals, Glasgow Math. J. 32 (1990), 285-297. Zbl0719.11065
  4. [4] D. A. Goldston and H. L. Montgomery, Pair correlation of zeros and primes in short intervals, in: Analytic Number Theory and Dioph. Probl., A. C. Adolphson et al. (eds.), Birkhäuser, 1987, 183-203. Zbl0629.10032
  5. [5] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 5th ed., Clarendon Press, 1990. Zbl0020.29201
  6. [6] D. R. Heath-Brown, Gaps between primes, and the pair correlation of zeros of the zeta-function, Acta Arith. 41 (1982), 85-99. Zbl0414.10044
  7. [7] L. K. Hua, Introduction to Number Theory, Springer, 1982. 
  8. [8] I. Kátai, A remark on a paper of Yu. V. Linnik, Magyar Tud. Akad. Mat. Fiz. Oszt. Közl. 17 (1967), 99-100 (in Hungarian). 
  9. [9] A. Languasco and A. Perelli, On Linnik's theorem on Goldbach numbers in short intervals and related problems, Ann. Inst. Fourier (Grenoble) 44 (1994), 307-322. Zbl0799.11040
  10. [10] A. Languasco and A. Perelli, A pair correlation hypothesis and the exceptional set in Goldbach's problem, Mathematika 43 (1996), 349-361. Zbl0884.11042
  11. [11] Yu. V. Linnik, Some conditional theorems concerning the binary Goldbach problem, Izv. Akad. Nauk SSSR Ser. Mat. 16 (1952), 503-520 (in Russian). Zbl0049.03104
  12. [12] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. Zbl0216.03501
  13. [13] H. L. Montgomery, The pair correlation of zeros of the zeta function, in: Proc. Sympos. Pure Math. 24, Amer. Math. Soc., 1973, 181-193. Zbl0268.10023
  14. [14] H. L. Montgomery and R. C. Vaughan, The exceptional set in Goldbach's problem, Acta Arith. 27 (1975), 353-370. Zbl0301.10043
  15. [15] E. C. Titchmarsh, The Theory of Riemann Zeta-Function, 2nd ed., Oxford Univ. Press, 1986. Zbl0601.10026

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