On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set

D. I. Tolev

Acta Arithmetica (1997)

  • Volume: 81, Issue: 1, page 57-68
  • ISSN: 0065-1036

How to cite

top

D. I. Tolev. "On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set." Acta Arithmetica 81.1 (1997): 57-68. <http://eudml.org/doc/207055>.

@article{D1997,
author = {D. I. Tolev},
journal = {Acta Arithmetica},
keywords = {thin sets of primes; distribution in residue classes},
language = {eng},
number = {1},
pages = {57-68},
title = {On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set},
url = {http://eudml.org/doc/207055},
volume = {81},
year = {1997},
}

TY - JOUR
AU - D. I. Tolev
TI - On a theorem of Bombieri-Vinogradov type for prime numbers from a thin set
JO - Acta Arithmetica
PY - 1997
VL - 81
IS - 1
SP - 57
EP - 68
LA - eng
KW - thin sets of primes; distribution in residue classes
UR - http://eudml.org/doc/207055
ER -

References

top
  1. [1] A. Balog, On the fractional parts of p θ , Arch. Math. (Basel) 40 (1983), 434-440. Zbl0517.10038
  2. [2] A. Balog, On the distribution of p θ m o d 1 , Acta Math. Hungar. 45 (1985), 179-199. Zbl0571.10038
  3. [3] A. Balog and G. Harman, On mean values of Dirichlet polynomials, Arch. Math. (Basel) 57 (1991), 581-587. Zbl0756.11023
  4. [4] E. Bombieri, On the large sieve, Mathematika 12 (1965), 201-225. Zbl0136.33004
  5. [5] E. Bombieri and H. Iwaniec, On the order of ζ(1/2 + it), Ann. Scuola Norm. Sup. Pisa 13 (1986), 449-472. Zbl0615.10047
  6. [6] H. Davenport, Multiplicative Number Theory (revised by H. Montgomery), Springer, 1980. Zbl0453.10002
  7. [7] S. A. Gritsenko, On a problem of I. M. Vinogradov, Mat. Zametki 39 (1986), 625-640 (in Russian). 
  8. [8] G. Harman, On the distribution of √p modulo one, Mathematika 30 (1983), 104-116. Zbl0504.10019
  9. [9] A. A. Karatsuba and S. M. Voronin, The Riemann Zeta-Function, de Gruyter, 1992. Zbl0756.11022
  10. [10] R. M. Kaufman, The distribution of √p, Mat. Zametki 26 (1979), 497-504 (in Russian). Zbl0417.10030
  11. [11] Yu. V. Linnik, On a theorem in prime number theory, Dokl. Akad. Nauk SSSR 47 (1945), 7-8 (in Russian). 
  12. [12] H. L. Montgomery, Topics in Multiplicative Number Theory, Lecture Notes in Math. 227, Springer, 1971. Zbl0216.03501
  13. [13] J. Rivat, Doctoral thesis, Université de Paris-Sud, 1992. 
  14. [14] J. Schoissengeier, The connection between the zeros of the ζ-function and sequences (g(p)), p prime mod 1, Monatsh. Math. 87 (1979), 21-52. Zbl0401.10046
  15. [15] J. Schoissengeier, Eine neue Diskrepanz für gewisse Primzahlfolgen, Sitzungsber. Math.-Naturwiss. Kl., Abt. II, 187 (1978), 219-224. Zbl0417.10033
  16. [16] R. C. Vaughan, An elementary method in prime number theory, Acta Arith. 37 (1980), 111-115. Zbl0448.10037
  17. [17] I. M. Vinogradov, Special Variants of the Method of Trigonometric Sums, Nauka, Moscow, 1976 (in Russian). Zbl0429.10023

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.