Differences between prime numbers

William J. Ellison

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1973-1974)

  • Volume: 15, Issue: 1, page 1-10

How to cite

top

Ellison, William J.. "Differences between prime numbers." Séminaire Delange-Pisot-Poitou. Théorie des nombres 15.1 (1973-1974): 1-10. <http://eudml.org/doc/110848>.

@article{Ellison1973-1974,
author = {Ellison, William J.},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
language = {eng},
number = {1},
pages = {1-10},
publisher = {Secrétariat mathématique},
title = {Differences between prime numbers},
url = {http://eudml.org/doc/110848},
volume = {15},
year = {1973-1974},
}

TY - JOUR
AU - Ellison, William J.
TI - Differences between prime numbers
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1973-1974
PB - Secrétariat mathématique
VL - 15
IS - 1
SP - 1
EP - 10
LA - eng
UR - http://eudml.org/doc/110848
ER -

References

top
  1. [1] Bombieri ( E. ) and Davenport ( H.). - Small differences between prime numbers, Proc. Royal Soc. London, Series A, t. 293, 1966, p. 1-18. Zbl0151.04201MR199165
  2. [2] Cramér ( H.). - On the order of magnitude of the difference between consecutive prime numbers, Acta Arithm., Warszawa, t. 2, 1937, p. 23-46. JFM62.1147.01
  3. [3] Ellison ( W.J.). - Nombres premiers. - Paris, Hermann (à paraître). MR417077
  4. [4] Ellison ( W.J.). - Differences between prime numbers, Séminaire de théorie des nombres, Université de Bordeaux, 1974. 
  5. [5] Halberstam ( H.) and Roth ( K.F. ) . - Sequences, Vol. I. - Oxford University Press, 1966. Zbl0141.04405MR210679
  6. [6] Hoheisel ( G.). - Primmahlprobleme in der Analysis, Sitz-Ber. preuss. Akad. Wiss., t. 33, 1930, p. 3-11. 
  7. [7] Huxley ( M.N.). - On the difference between consecutive primes, Inventiones Math., Berlin, t. 15, 1972, p. 164-170. Zbl0241.10026MR292774
  8. [8] Montgomery ( H.L.). - Topics in multiplicative number theory. - Berlin, Heidelberg, New York, Springer-Verlag, 1971 (Lecture Notes in Mathematics, 227). Zbl0216.03501MR337847
  9. [9] Rankin ( R.A.). - The difference between consecutive prime numbers, II, Proc. Cambridge phil. Soc., t. 36, 1940, p. 255-266. Zbl66.0163.01MR1760JFM66.0163.01
  10. [10] Ricci ( G.). - Sul pennello di quasi-asintoticità della differenza dei interi primi consecutivi, I, II, Atti Accad. naz. Lincei, Rend., Série 8, t. 17, 1954, p. 192-196, et p. 347-351. Zbl0057.28501
  11. [11] Selberg ( A.). - On the normal density of primes in small intervals and the difference between consecutive primes, Arch. Math. Naturvid., t. 47, 1943, n° 6, p. 87-105. Zbl0063.06869MR12624
  12. [12] Westzynthius ( E.). - Über die Verteilung der Zahlen, die zu den n ersten Primzahlen teilerfremd sind, Comment. Phys.-Math., Helsingfors, t. 5, 1931, n° 25, 37 p. Zbl0003.24601

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.