An inverse theorem mod p

• Autorzy: Yahya Ould Hamidoune , Øystein J. Rødseth
• Języki publikacji: EN

Kategorie tematyczne

• 11B13: Additive bases, including sumsets
• 11A07: Congruences; primitive roots; residue systems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2000
• Tom: 92
• Numer: 3
• Strony: 251-262

Daty

wydano

2000

otrzymano

1999-04-16

poprawiono

1999-09-30

Twórcy

autor

Yahya Ould Hamidoune

• E. Combinatoire, Université P. et M. Curie, 4 Place Jussieu, 75005 Paris, France

autor

Øystein J. Rødseth

• Department of Mathematics, University of Bergen, Johs. Brunsgt. 12, N-5008 Bergen, Norway

Bibliografia

• [1] A. L. Cauchy, Recherches sur les nombres, J. École Polytech. 9 (1813), 99-116.
• [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.
• [3] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32.
• [4] H. Davenport, A historical note, ibid. 22 (1947), 100-101.
• [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] 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.
• [7] H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience Publ., New York, 1965.
• [8] M. B. Nathanson, Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Springer, New York, 1996.
• [9] A. G. Vosper, The critical pairs of subsets of a group of prime order, J. London Math. Soc. 31 (1956), 200-205.
• [10] A. G. Vosper, Addendum to 'The critical pairs of subsets of a group of prime order', ibid. 31 (1956), 280-282.