An inverse theorem mod p

Yahya Ould Hamidoune; Øystein J. Rødseth

Acta Arithmetica (2000)

  • Volume: 92, Issue: 3, page 251-262
  • ISSN: 0065-1036

How to cite

top

Yahya Ould Hamidoune, and Øystein J. Rødseth. "An inverse theorem mod p." Acta Arithmetica 92.3 (2000): 251-262. <http://eudml.org/doc/207386>.

@article{YahyaOuldHamidoune2000,
author = {Yahya Ould Hamidoune, Øystein J. Rødseth},
journal = {Acta Arithmetica},
keywords = {arithmetic progressions; congruences},
language = {eng},
number = {3},
pages = {251-262},
title = {An inverse theorem mod p},
url = {http://eudml.org/doc/207386},
volume = {92},
year = {2000},
}

TY - JOUR
AU - Yahya Ould Hamidoune
AU - Øystein J. Rødseth
TI - An inverse theorem mod p
JO - Acta Arithmetica
PY - 2000
VL - 92
IS - 3
SP - 251
EP - 262
LA - eng
KW - arithmetic progressions; congruences
UR - http://eudml.org/doc/207386
ER -

References

top
  1. [1] A. L. Cauchy, Recherches sur les nombres, J. École Polytech. 9 (1813), 99-116. 
  2. [2] S. Chowla, H. B. Mann, and E. G. Straus, Some applications of the Cauchy-Davenport theorem, Norske Vid. Selsk. Forh. 32 (1959), 74-80. Zbl0109.03206
  3. [3] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32. Zbl0010.38905
  4. [4] H. Davenport, A historical note, ibid. 22 (1947), 100-101. Zbl0029.34401
  5. [5] G. A. Freiman, Inverse problems of additive number theory. On the addition of sets of residues with respect to a prime modulus, Dokl. Akad. Nauk SSSR 141 (1961), 571-573 (in Russian). 
  6. [6] G. A. Freiman, Inverse problems of additive number theory. On the addition of sets of residues with respect to a prime modulus, Soviet Math. Dokl. 2 (1961), 1520-1522. Zbl0109.27203
  7. [7] H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience Publ., New York, 1965. Zbl0127.27203
  8. [8] M. B. Nathanson, Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Springer, New York, 1996. Zbl0859.11003
  9. [9] A. G. Vosper, The critical pairs of subsets of a group of prime order, J. London Math. Soc. 31 (1956), 200-205. Zbl0072.03402
  10. [10] A. G. Vosper, Addendum to 'The critical pairs of subsets of a group of prime order', ibid. 31 (1956), 280-282. Zbl0072.03402

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.