Cyclotomie et valeurs de la fonction $\Gamma$

 Access to full text

 Full (PDF)

1. [A 1] G. Anderson - Cyclotomy and an extension of the Taniyama group, Compos. Math.57 (1986), 153-217. Zbl0591.14001MR827351
2. [A 2] G. Anderson - The hyperadelic gamma function, prépublication Univ. Minnesota, juin 1987. 
3. [Bl] D. Blasius - On the critical values of Hecke L-series, Annals of Math.124 (1986), 23-63. Zbl0608.10029MR847951
4. [Br] G. Brattström - Jacobi sum Hecke characters of a totally real abelian field, Sém. Th. des Nombres, Bordeaux, exp. 22, année 1981-82. Zbl0528.12011MR695338
5. [Br-Li] G. Brattström, S. Lichtenbaum - Jacobi sum Hecke characters of imaginary quadratic fields, Compos. Math.53 (1984), 277-302. Zbl0584.12007MR768825
6. [De 1] P. Deligne - Sommes trigonométriques in SGA 41/2 , Cohomologie étale, Springer LNM569 (1977), 168-232. Zbl0349.10031MR463174
7. [De 2] P. Deligne - Valeurs de fonctions L et périodes d'intégrales, PSPM33 (1979), part 2, 313-346. Zbl0449.10022MR546622
8. [DMOS] P. Deligne, J. Milne, A. Ogus, K. Shih - Hodge cycles, motives and Shimura varieties, Springer LNM900 (1980). Zbl0465.00010
9. [Gr-Ko] B. Gross, N. Koblitz - Gauss sums and the p-adic Γ-function, Annals of Math.109 (1979), 569-581. Zbl0406.12010
10. [Ha-Sch] G. Harder, N. Schappacher - Special values of Hecke L-functions and abelian integrals in Arbeitstagung, Bonn1984, Springer LNM1111 (1985), 17-49. Zbl0561.10012MR797414
11. [I] Y. Ihara - Profinite braid groups, Galois representations and complex multiplications, Annals of Math.123 (1986), 43-106. Zbl0595.12003MR825839
12. [K-S] T. Katsura, T. Shioda - On Fermat varieties, Tohokû Math. J.31 (1979), 97-115. Zbl0415.14022MR526513
13. [Ku] D. Kubert - Jacobi sums and Hecke characters, Am. J. of Math.107 (1985), 253-280. Zbl0577.12004MR784285
14. [Ku-Li] D. Kubert, S. Lichtenbaum - Jacobi sum Hecke characters, Compos. Math.48 (1983), 55-87. Zbl0513.12010MR700580
15. [Li] S. Lichtenbaum - Values of L-functions of Jacobi-sum Hecke characters of abelian fields, in Number Theory related to Fermat's last theorem, Progress in Math.26 (Birkhäuser) (1982), 207-218. Zbl0518.12005MR685297
16. [Sa] N. Saavedra Rivano - Catégories tannakiennes, Springer LNM265 (1975). Zbl0241.14008MR338002
17. [Sch] N. Schappacher - Periods of Hecke characters, L.N. in Mathematics n° 1301, Springer-Verlag (1987). Zbl0659.14001MR935127
18. [Se] J.-P. Serre - Abelian l-adic representations and elliptic curves, Benjamin (1968). Zbl0186.25701MR263823
19. [Sh 1] G. Shimura - On some arithmetic properties of modular forms of one and several variables, Annals of Math.102 (1975), 491-515. Zbl0327.10028MR491519
20. [Sh 2] G. Shimura - On certain reciprocity laws for theta functions and modular forms, Acta Math.141 (1978), 35-71. Zbl0402.10030MR491518
21. [Sh-Ta] G. Shimura, Y. Taniyama - Complex multiplication of abelian varieties and its applications to Number Theory, Public. Math. Soc. Japan6 (1961). Zbl0112.03502MR125113
22. [Si] C. Siegel - Über die Fourierschen Koeffizienten von Modulformen, Gött. Nachr.3 (1970), 15-56 (Ges. Alh. IV, 98-139). Zbl0225.10031MR285488
23. [We 1] A. Weil - Number of solutions of equations in finite fields, Bull. Am. Math. Soc.55 (1949), 497-508, Zbl0032.39402MR29393
24. (Oeuvres, 1949 b)). 
25. [We 2] A. Weil - Jacobi sums as "Grössencharaktere", Transac. AMS VI73 (1952), 487-495 Zbl0048.27001MR51263
26. (Oeuvres, 1952 c). 
27. [We 3] A. Weil - La cyclotomie jadis et naguère, exposé au Séminaire Bourbaki, Paris, juin 1974, Enseign. Math.XX (1974), 247-263 Zbl0352.12006MR441831
28. (Oeuvres, 1974 c). 
29. [We 4] A. Weil - Sommes de Jacobi et caractères de Hecke, Gött. Nachr.1974, n° 1, 14 p. Zbl0367.10035MR392859
30. (Oeuvres, 1974 d).