Théorème de Fermat : la contribution de Fouvry

Jean-Marc Deshouillers

Séminaire Bourbaki (1984-1985)

  • Volume: 27, page 309-318
  • ISSN: 0303-1179

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Deshouillers, Jean-Marc. "Théorème de Fermat : la contribution de Fouvry." Séminaire Bourbaki 27 (1984-1985): 309-318. <http://eudml.org/doc/110049>.

@article{Deshouillers1984-1985,
author = {Deshouillers, Jean-Marc},
journal = {Séminaire Bourbaki},
keywords = {first case of Fermat's Last Theorem; Brun-Titchmarsh Theorem; Rosser sieve; Kloosterman sums},
language = {fre},
pages = {309-318},
publisher = {Société Mathématique de France},
title = {Théorème de Fermat : la contribution de Fouvry},
url = {http://eudml.org/doc/110049},
volume = {27},
year = {1984-1985},
}

TY - JOUR
AU - Deshouillers, Jean-Marc
TI - Théorème de Fermat : la contribution de Fouvry
JO - Séminaire Bourbaki
PY - 1984-1985
PB - Société Mathématique de France
VL - 27
SP - 309
EP - 318
LA - fre
KW - first case of Fermat's Last Theorem; Brun-Titchmarsh Theorem; Rosser sieve; Kloosterman sums
UR - http://eudml.org/doc/110049
ER -

References

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  1. L.M. Adleman and D.R. Heath-Brown - The first case of Fermat's last theorem, Invent. Math.79(1985), 409-416. Zbl0557.10034MR778135
  2. E. Bombieri - On the large sieve, Mathematika12(1965), 201-225. Zbl0136.33004MR197425
  3. R.W. Bruggeman - Fourier coefficients of cusp forms, Invent. Math.70(1982), 1-18. Zbl0351.10019MR472701
  4. J.-M. Deshouillers and H. Iwaniec - Kloosterman sums and Fourier coefficients of cusp forms, Invent. Math.70(1982), 219-288. Zbl0502.10021MR684172
  5. J.-M. Deshouillers and H. Iwaniec - On the Brun - Titchmarsh theorem on average, Coll. Math. Soc. J. Bolyai34(1984), 319-333. Zbl0548.10026MR781145
  6. J.-M. Deshouillers, H. Iwaniec, R. Phillips and P. Sarnak - On Maass cusp forms (to appear). MR791741
  7. É. Fouvry - Thèse de Doctorat d'Etat, Bordeaux (1981). 
  8. É. Fouvry - Théorème de Brun - Titchmarsh ; application au théorème de Fermat, Invent. Math.79(1985), 383-407. Zbl0557.10035MR778134
  9. É. Fouvry and H. Iwaniec - On a theorem of Bombieri - Vinogradov type, Mathematika27(1980), 135-152. Zbl0469.10027MR610700
  10. D.R. Hfath-Bidwn - Sieve identities and gaps between primes, Astérisque94 (1982), 61-65. Zbl0502.10029
  11. C. Hooley - On the largest prime factor of p + a , Mathematika20 (1973) , 135- 143. Zbl0288.10013MR354579
  12. H. Iwaniec - Fourier coefficients of cusp forms and the Riemann zeta-function, Sém. th. Nb. Bordeaux (1979-1980), exposé n° 18, 36 pages. Zbl0438.10030MR604215
  13. H. Iwaniec - A new form of the error term in the linear sieve - Acta Arith.37(1980), 307-321. Zbl0444.10038MR598883
  14. H. Iwaniec - On the Brun - Titchmarsh theorem, J. Math. Soc. Japan34 (1982) , 95-123. Zbl0486.10033MR639808
  15. H. Iwaniec and M. Jutila - Primes in short intervals, Ark. Mat.17(1979), 167-176. Zbl0408.10029MR543511
  16. N.V. Kuzneoov - Petersson hypothesis for parabolic forms of weight zero and Linnik hypothesis. Sums of Kloosterman sums, Math. Sb.111(1980), 334-383. Zbl0427.10016MR568983
  17. Y. Motohashi - A note on the least prime in an arithmetic progression with a prime difference, Acta Arith.17(1970), 283-285. Zbl0215.35302MR268131
  18. Y. Motohashi - On some improvements of the Brun - Titchmarsh theorem, I and II, J. Math. Soc. Japan26(1974), 306-323 and 27(1975), 444-453. Zbl0309.10018MR337848
  19. Y. Motohashi - An induction principle for the generalization of Bombieri's prime number theorem, Proc. Japan Acad. Sci.52(1976), 273-275. Zbl0355.10035MR422179
  20. P. Ribenboim - Thirteen lectures on Fermat's last theorem, Springer Verlag, Berlin (1979). Zbl0456.10006MR551363
  21. E.C. Titchmarsh - A divisor problem, Rend. Circ. Mat. Palermo, 54 (1930) , 414- 429. JFM56.0891.01
  22. R.C. Vaughan - Sommes trigonométriques sur les nombres premiers, C.R. Acad. Sci., Paris, Ser. A285(1977), 981-983. Zbl0374.10025MR498434
  23. A.I. Vinogradov - The density hypothesis for Kirichlet's L-series, Izv. Akad. Nauk, SSSR, Ser. Mat.29(1965), 903-934 ; corrigendum : ibid. 30 (1966), 719-720. Zbl0128.04205

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