Résidus de puissances

Dominique Bernardi

Séminaire Delange-Pisot-Poitou. Théorie des nombres (1977-1978)

  • Volume: 19, Issue: 2, page 1-12

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Bernardi, Dominique. "Résidus de puissances." Séminaire Delange-Pisot-Poitou. Théorie des nombres 19.2 (1977-1978): 1-12. <http://eudml.org/doc/111015>.

@article{Bernardi1977-1978,
author = {Bernardi, Dominique},
journal = {Séminaire Delange-Pisot-Poitou. Théorie des nombres},
keywords = {Quadratic Residue; L-Th Power Reciprocity Law; Cyclotomic Fields; Jacobi Sums; Quadratic Diophantine Equations},
language = {fre},
number = {2},
pages = {1-12},
publisher = {Secrétariat mathématique},
title = {Résidus de puissances},
url = {http://eudml.org/doc/111015},
volume = {19},
year = {1977-1978},
}

TY - JOUR
AU - Bernardi, Dominique
TI - Résidus de puissances
JO - Séminaire Delange-Pisot-Poitou. Théorie des nombres
PY - 1977-1978
PB - Secrétariat mathématique
VL - 19
IS - 2
SP - 1
EP - 12
LA - fre
KW - Quadratic Residue; L-Th Power Reciprocity Law; Cyclotomic Fields; Jacobi Sums; Quadratic Diophantine Equations
UR - http://eudml.org/doc/111015
ER -

References

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  1. [1] Dickson ( L.E.). - Cyclotomy, higher congruences and Waring's problem, I and II, Amer. J. Math., t. 57, 1935, p. 391-424 and p. 463-474. Zbl61.0175.01JFM61.0175.01
  2. [2] Dickson ( L.E.). - Cyclotomy and trinomial congruences, Trans. Amer. math. Soc., t. 37, 1935, p. 363-380. Zbl0011.29301MR1501791
  3. [3] Jacobi ( J.G.D.). - De residuis cubicis commentatio numerosa, J. für die reine und angew. Math., t. 2, 1827, p. 66-69. 
  4. [4] Lehmer ( E.). - The quintic character of 2 and 3 , Duke math. J. , t. 18, 1951, p. 11-18. Zbl0045.02002MR40338
  5. [5] Leonard ( P.A.) and Williams ( K.S.). - The septic character of 2 , 3 , 5 an and 7 , Pacific J. Math., t. 52, 1974, p. 143-147. Zbl0265.10004MR364064
  6. [6] Leonard ( P.A.) and Williams ( K.S.). - A diophantine system of Dickson, Atti Accad. naz. Lincei, Rend., t. 56, 1974, p. 145-150. Zbl0299.12017MR374108
  7. [7] Leonard ( P.A.), Mortimer ( B.C.) and Williams ( K.S.). - The elenventh power character of 2 , J. für die reine und angew. Math., t. 286-287, 1976, p. 213-222. Zbl0332.10003MR422123
  8. [8] Leonard ( P.A. ) and Williams ( K.S.). - The cyclotomic numbers of order eleven, Acta Arithm., Warszawa, t. 26, 1975, p. 365-383. Zbl0267.12009MR376513
  9. [9] Masley ( J.M.) and Montgomery ( H.L.). - Cyclotomic fields with unique factorization, J. für die reine und angew. Math., t. 286-287, 1976, p. 248-256. Zbl0335.12013MR429824
  10. [10] William ( K.S.). - A quadratic partition of primes = 1 (mod 7) , Math. of Comput., t. 28, 1974, p. 1133-1136. Zbl0296.10012MR345902

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