@article{SDPP_1967-1968__9_1_A13_0,
author = {Serre, Jean-Pierre},
title = {Une interpr\'etation des congruences relatives \`a la fonction $\tau $ de {Ramanujan}},
journal = {S\'eminaire Delange-Pisot-Poitou},
note = {talk:14},
pages = {1--17},
year = {1967-1968},
publisher = {Secr\'etariat math\'ematique},
volume = {9},
number = {1},
mrnumber = {244147},
zbl = {0186.36902},
language = {fr},
url = {https://www.numdam.org/item/SDPP_1967-1968__9_1_A13_0/}
}
TY - JOUR AU - Serre, Jean-Pierre TI - Une interprétation des congruences relatives à la fonction $\tau $ de Ramanujan JO - Séminaire Delange-Pisot-Poitou N1 - talk:14 PY - 1967-1968 SP - 1 EP - 17 VL - 9 IS - 1 PB - Secrétariat mathématique UR - https://www.numdam.org/item/SDPP_1967-1968__9_1_A13_0/ LA - fr ID - SDPP_1967-1968__9_1_A13_0 ER -
%0 Journal Article %A Serre, Jean-Pierre %T Une interprétation des congruences relatives à la fonction $\tau $ de Ramanujan %J Séminaire Delange-Pisot-Poitou %Z talk:14 %D 1967-1968 %P 1-17 %V 9 %N 1 %I Secrétariat mathématique %U https://www.numdam.org/item/SDPP_1967-1968__9_1_A13_0/ %G fr %F SDPP_1967-1968__9_1_A13_0
Serre, Jean-Pierre. Une interprétation des congruences relatives à la fonction $\tau $ de Ramanujan. Séminaire Delange-Pisot-Poitou, Tome 9 (1967-1968) no. 1, Exposé no. 14, 17 p.. https://www.numdam.org/item/SDPP_1967-1968__9_1_A13_0/
[1] et ). - Cohomologie étale des schémas, Séminaire de géométrie algébrique, Institut des Hautes Etudes Scientifiques, Bures-surYvette, 1963/64.
[2] . - Two congruence properties of Ramanujan's function τ(n) , J. London math. Soc., t. 21, 1946, p. 91-93. | Zbl
[3] und . - Die Nullstelle der Kongruenzzetafunktionen in gewissen zyklischen Fällen, J. für reine und angew. Math. [J. Crelle], t. 172, 1935, p. 151-182. | JFM
[4] . - Quaternäre quadratische Formen und die Riemannsche Vermutung für die Kongruenzzetafunktion, Archiv der Math., t. 5, 1954, p. 355-366. | Zbl | MR
[5] . - Ramanujan (Twelve lectures on subjects suggested by his life and his work). - Cambridge University Press, 1940 [Reprint : New York, Chelsea publishing Company, 1959]. | Zbl
[6] . - Mathematische Werke. - Göttingen, Vandenhoeck und Ruprecht, 1959. | Zbl | MR
[7] . - Kroneckerian model of fields of elliptic modular functions, Amer. J. of Math., t. 81, 1959, p. 561-577. | Zbl | MR
[8] . - Hecke polynomials as congruence ζ functions in elliptic modular case, Annals of Math., Series 2, t. 85, 1967, p. 267-295. | Zbl
[9] . - Fiber varieties over a symmetric space whose fibers are abelian varieties [Notes polycopiées], University of Chicago, 1963/64.
[10] and . - On the zeta function of a fibre variety whose fibres are abelian varieties, Annals of Math., Series 2, t. 82, 1965, p. 478-539. | Zbl | MR
[11] . - Ramanujan's function τ(n) , Duke math. J., t. 10, 1943, p. 483-492. | Zbl
[12] . - The vanishing of Ramanujan's function τ(n) , Duke math. J., t. 14, 1947, p. 429-433. | Zbl
[13] . - Notes on some arithmetical properties of elliptic modular functions [Notes polycopiées, Berkeley, non datées].
[14] . - On Mr Ramanujan's empirical expressions of modular functions, Proc. Cambridge phil. Soc., t. 19, 1917, p. 117-124. | JFM
[15] . - Congruence properties of Ramanujan's function τ(n) , (II), J. Indian math. Soc., t. 9, 1945, p. 55-59. | Zbl
[16] . - On certain arithmetical functions, Trans. Cambridge phil. Soc., t. 22, 1916, p. 159-184.
[17] . - Abelian l-adic representations and elliptic curves. - New York, Benjamin, 1968. | Zbl | MR
[18] . - Correspondances modulaires et les fonctions zêtas des courbes algébriques, J. Math. Soc. Japan, t. 10, 1958, p. 1-28. | Zbl | MR
[19] . - A reciprocity law in non-solvable extensions, J. für reine und angew. Math. [J. Crelle], t. 221, 1966, p. 209-220. | Zbl | MR
[20] . - On some exponential sums, Proc. Nat. Acad. Sc. U. S. A., t. 34, 1948, p. 204-207. | Zbl | MR
[21] . - Congruence properties of Ramanujan's function τ(n) , Proc. London math. Soc., t. 31, 1930, p. 1-10. | JFM






