# An inverse theorem mod p

Yahya Ould Hamidoune; Øystein J. Rødseth

Acta Arithmetica (2000)

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

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topYahya 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] 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. Zbl0109.03206
- [3] H. Davenport, On the addition of residue classes, J. London Math. Soc. 10 (1935), 30-32. Zbl0010.38905
- [4] H. Davenport, A historical note, ibid. 22 (1947), 100-101. Zbl0029.34401
- [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. Zbl0109.27203
- [7] H. B. Mann, Addition Theorems: The Addition Theorems of Group Theory and Number Theory, Interscience Publ., New York, 1965. Zbl0127.27203
- [8] M. B. Nathanson, Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Springer, New York, 1996. Zbl0859.11003
- [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] A. G. Vosper, Addendum to 'The critical pairs of subsets of a group of prime order', ibid. 31 (1956), 280-282. Zbl0072.03402

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