@article{bwmeta1.element.bwnjournal-article-aav92i3p251bwm, author = {Yahya Ould Hamidoune and \O ystein J. R\o dseth}, title = {An inverse theorem mod p}, journal = {Acta Arithmetica}, volume = {92}, year = {2000}, pages = {251-262}, zbl = {0945.11003}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav92i3p251bwm} }
Yahya Ould Hamidoune; Øystein J. Rødseth. An inverse theorem mod p. Acta Arithmetica, Tome 92 (2000) pp. 251-262. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav92i3p251bwm/
[000] [1] A. L. Cauchy, Recherches sur les nombres, J. École Polytech. 9 (1813), 99-116.
[001] [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. | Zbl 0109.03206
[002] [3] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32. | Zbl 0010.38905
[003] [4] H. Davenport, A historical note, ibid. 22 (1947), 100-101. | Zbl 0029.34401
[004] [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).
[005] [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. | Zbl 0109.27203
[006] [7] H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience Publ., New York, 1965. | Zbl 0127.27203
[007] [8] M. B. Nathanson, Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Springer, New York, 1996. | Zbl 0859.11003
[008] [9] A. G. Vosper, The critical pairs of subsets of a group of prime order, J. London Math. Soc. 31 (1956), 200-205. | Zbl 0072.03402
[009] [10] A. G. Vosper, Addendum to 'The critical pairs of subsets of a group of prime order', ibid. 31 (1956), 280-282. | Zbl 0072.03402