Sur les propriétés de divisibilité des nombres de classes des corps quadratiques

étienne Fouvry

Bulletin de la Société Mathématique de France (1999)

  • Volume: 127, Issue: 1, page 95-113
  • ISSN: 0037-9484

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Fouvry, étienne. "Sur les propriétés de divisibilité des nombres de classes des corps quadratiques." Bulletin de la Société Mathématique de France 127.1 (1999): 95-113. <http://eudml.org/doc/87803>.

@article{Fouvry1999,
author = {Fouvry, étienne},
journal = {Bulletin de la Société Mathématique de France},
keywords = {class number of quadratic field; fundamental discriminants; genus theory; sieves; exponential sums},
language = {fre},
number = {1},
pages = {95-113},
publisher = {Société mathématique de France},
title = {Sur les propriétés de divisibilité des nombres de classes des corps quadratiques},
url = {http://eudml.org/doc/87803},
volume = {127},
year = {1999},
}

TY - JOUR
AU - Fouvry, étienne
TI - Sur les propriétés de divisibilité des nombres de classes des corps quadratiques
JO - Bulletin de la Société Mathématique de France
PY - 1999
PB - Société mathématique de France
VL - 127
IS - 1
SP - 95
EP - 113
LA - fre
KW - class number of quadratic field; fundamental discriminants; genus theory; sieves; exponential sums
UR - http://eudml.org/doc/87803
ER -

References

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  1. [Be]BELABAS (K.). — Crible et 3-rang des corps quadratiques, Annales Inst. Fourier, t. 46, 1996, p. 909-949. Zbl0853.11088MR98b:11112
  2. [BF]BELABAS (K.), FOUVRY (E.). — Sur le 3-rang des corps quadratiques de discriminant premier ou presque premier, à paraître dans Duke Math. J. Zbl1061.11503
  3. [CL]COHEN (H.), LENSTRA (H.W.). — Heuristics on class groups of number fields, Number Theory, Noordwiijkerhout 1983 Proceedings, Lecture Note Math., Springer-Verlag, t. 1068, 1984, p. 33-62. Zbl0558.12002MR85j:11144
  4. [DF]DANIEL (S.), FOUVRY (E.). — On real quadratic fields with odd class number, Math. Annalen, t. 313, 1999, p. 371-384. Zbl0929.11048MR2000a:11127
  5. [Da]DAVENPORT (H.). — On the class number of binary cubic forms, I, J. London Math. Soc., t. 27, 1951, p. 183-192 ; erratum, ibid., t. 27, 1951, p. 512. Zbl0044.27002
  6. [DH1]DAVENPORT (H.), HEILBRONN (H.). — On the density of discriminants of cubic fields, Bull. London Math. Soc., t. 1, 1969, p. 345-348. Zbl0211.38602MR40 #7223
  7. [DH2]DAVENPORT (H.), HEILBRONN (H.). — On the density of discriminants of cubic fields, II, Proc. Roy. Soc. London A., t. 322, 1971, p. 405-420. Zbl0212.08101MR58 #10816
  8. [Fo]FOUVRY (E.). — Consequences of a result of N. Katz and G. Laumon concerning trigonometric sums. — Preprint. Zbl1010.11045
  9. [He]HERZ (C.S.). — Construction of class fields, in Seminar on Complex Multiplication, Lecture Notes in Mathematics, Springer Verlag, t. 21, 1966. MR34 #1278
  10. [KaLa]KATZ (N.), LAUMON (G.). — Transformation de Fourier et majoration de sommes exponentielles, Publ. Math. I.H.E.S., t. 62, 1985, p. 145-202 ; corrigendum, t. 69, p. 233. Zbl0603.14015MR87i:14017
  11. [NaHo]NAKAGAWA (J.), HORIE (K.). — Elliptic curves with no torsion points, Proc. Amer. Math. Soc., t. 104, 1988, p. 20-25. Zbl0663.14023MR89k:11113

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