Geodesic
Twists of a General Class of L-Functions by Highly Ramified Characters
Canadian mathematical bulletin, Tome 43 (2000) no. 3, pp. 380-384

Voir la notice de l'article provenant de la source Cambridge University Press

It is shown that given a local $L$ -function defined by Langlands-Shahidi method, there exists a highly ramified character of the group which when is twisted with the original representation leads to a trivial $L$ -function.
DOI : 10.4153/CMB-2000-045-1
Mots-clés : 11F70, 22E35, 22E50 
Shahidi, Freydoon. Twists of a General Class of L-Functions by Highly Ramified Characters. Canadian mathematical bulletin, Tome 43 (2000) no. 3, pp. 380-384. doi: 10.4153/CMB-2000-045-1
@article{10_4153_CMB_2000_045_1,
     author = {Shahidi, Freydoon},
     title = {Twists of a {General} {Class} of {L-Functions} by {Highly} {Ramified} {Characters}},
     journal = {Canadian mathematical bulletin},
     pages = {380--384},
     year = {2000},
     volume = {43},
     number = {3},
     doi = {10.4153/CMB-2000-045-1},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-045-1/}
}
TY  - JOUR
AU  - Shahidi, Freydoon
TI  - Twists of a General Class of L-Functions by Highly Ramified Characters
JO  - Canadian mathematical bulletin
PY  - 2000
SP  - 380
EP  - 384
VL  - 43
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-045-1/
DO  - 10.4153/CMB-2000-045-1
ID  - 10_4153_CMB_2000_045_1
ER  - 
%0 Journal Article
%A Shahidi, Freydoon
%T Twists of a General Class of L-Functions by Highly Ramified Characters
%J Canadian mathematical bulletin
%D 2000
%P 380-384
%V 43
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2000-045-1/
%R 10.4153/CMB-2000-045-1
%F 10_4153_CMB_2000_045_1

[1] [1] Jacquet, H. and Shalika, J. A., A lemma on highly ramified ε-factors. Math. Ann. 84 (1985), 319–332. Google Scholar

[2] [2] Langlands, R. P., Euler Products. Yale Univ. Press, New Haven, Connecticut, 1971. Google Scholar

[3] [3] Prasad, D. and Ramakrishnan, D., On the global root numbers of GL(n) × GL(m). To appear in Shimura's volume. Google Scholar

[4] [4] Shahidi, F., On the Ramanujan conjecture and finiteness of poles for certain L-functions. Ann. of Math. 127 (1988), 547–584. Google Scholar

[5] [5] Shahidi, F., A proof of Langlands’ conjecture on Plancherel measures: Complementary series for p-adic groups. Ann. of Math. 132 (1990), 273–330. Google Scholar

[6] [6] Shahidi, F., On certain L-functions. Amer. J.Math. 103 (1981), 297–356. Google Scholar

Cité par Sources :