Voir la notice de l'article provenant de la source Cambridge University Press
Moreno, C. J.; Shahidi, F. The L-Functions L(s, Symm (r), π). Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 405-410. doi: 10.4153/CMB-1985-049-4
@article{10_4153_CMB_1985_049_4,
author = {Moreno, C. J. and Shahidi, F.},
title = {The {L-Functions} {L(s,} {Symm} (r), \ensuremath{\pi})},
journal = {Canadian mathematical bulletin},
pages = {405--410},
year = {1985},
volume = {28},
number = {4},
doi = {10.4153/CMB-1985-049-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-049-4/}
}
[1] 1. Elliott, P.D.T., Multiplicative functions and Ramanujarn's τ-function, J. Austral. Math. Soc. (Ser. A), 30(1981), pp. 461–468. Google Scholar
[2] 2. Elliott, P.D.T., Moreno, C.J., and Shahidi, F., On the absolute value of Ramanujan's τ-function, Math. Ann., 266 (1984), pp. 507–511. Google Scholar
[3] 3. Gelbart, S. and Jacquet, H., A relation between automorphic representations of GL(2) and GL(3), Ann. Scient. Ec. Norm. Sup. (Ser. 4), 11 (1973), pp. 471–542. Google Scholar
[4] 4. Jacquet, H., Principal L-functions of the linear group, Proc. Symp. Pure Math. (AMS), 33 part 2 (1979), pp. 63–86. Google Scholar
[5] 5. Jacquet, H., Piatetskii-Shapiro, I. I., and Shalika, J., Rankin-Selberg convolutions, Amer. J. of Math., 105(2) (1983), pp. 367–464. Google Scholar
[6] 6. Landau, E., Über die Anzahl der Gitterpunkte in gewissen Bereichen, Gött. Nachr. (1915), pp. 209–243. Google Scholar
[7] 7. Landau, E., Einfuhrung in die elementare und analytische Théorie der algebraischen Zahlen und der Ideale, Chelsea Publ. Co., New York, 1949. Google Scholar
[8] 8. Langlands, R.P., Problems in the theory of automorphic forms, Lecture Notes in Math., Springer-Verlag, 170 (1970), pp. 18–61. Google Scholar
[9] 9. Langlands, R.P., On the classification of irreducible representations of real algebraic groups (preprint). Google Scholar
[10] 10. Proskurin, N.V., Estimates for eigenvalues ofHecke operators in the space of parabolic forms of weight zero, Zap. Naucn. Sem. Leningrad. Otdel. Mat. Inst. Steklov., 82 (1979), pp. 136–143. Google Scholar
[11] 11. Rankin, R.A., Contributions to the theory of Ramanujan's functions and other arithmetical functions, I. Proc. Cambridge Phil. Soc, 35 (1939), pp. 351–356. Google Scholar
[12] 12. Satake, I., Spherical functions and Ramanujan conjecture, Proc. Symp. Pure Math. (AMS), 9 (1966), pp. 258–264. Google Scholar
[13] 13. Sato, M. and Shintani, T., On zeta functions associated with prehomogeneous vector spaces, Ann. of Math., 100 (1974), pp. 131–170. Google Scholar
[14] 14. Selberg, A., Bemerkungen uber eine Dirichletsche Reihe, die mit der Theory der Modulformen nahe verbunden ist, Arch Math. Naturvid., 43 (1940), pp. 47–50. Google Scholar
[15] 15. Selberg, A., On the estimationof Fourier coefficients of modular forms, Proc. Symp. Pure Math. (AMS), 8(1965), pp. 1–15. Google Scholar
[16] 16. Serre, J.-P., Abelian 1-adic representations and elliptic curves, Benjamin Publ. Co., New York, 1968. Google Scholar
[17] 17. Serre, J.-P., Une interprétation des congruences relatives à la fonction T de Ramanujan, Sem. Delange-Pisot-Poitou 1967/1968, No. 14. Google Scholar
[18] 18. Serre, J.-P., written communication (July 22, 1983). Google Scholar
[19] 19. Shahidi, F., Functional equation satisfied by certain L-functions, Compositio Mathematica, 37 (1978), pp. 171–201. Google Scholar
[20] 20. Shahidi, F., On certain L-functions, Amer. J. of Math., 103 (1981), pp. 297–355. Google Scholar
[21] 21. Shahidi, F. and Moreno, C.J., The fourth moment of the Ramanujan T-function, Math. Annalen, 266 (1983), pp. 233–239. Google Scholar
[22] 22. Tamagawa, T., On the functional equation of the generalized L-function, J. Fac. Sc. Tokyo, 6 (1953), pp. 421–428. Google Scholar
[23] 23. Ram Murty, M., On the estimation of eigenvalues of Hecke operators, (to appear). Google Scholar
Cité par Sources :