The L-Functions L(s, Symm (r), π)
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 405-410
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The exact form for the gamma factor for the L-function corresponding to the m-th symmetric power of a cuspidal automorphic representation of PGL(2) is given. This information is used to obtain, via a theorem of Landau, bounds for the eigenvalues of Hecke operators.
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/}
}
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