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| Fractional Moments of Automorphic L-Functions on GL(m) |
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Citation： |
Qinghua PI.Fractional Moments of Automorphic L-Functions on GL(m)[J].Chinese Annals of Mathematics B,2011,32(4):631~642 |
| Page view： 1839
Net amount： 1133 |
Authors： |
Qinghua PI; |
Foundation： |
the National Natural Science Foundation of China (No. 10971119). |
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| Abstract： |
Let π be an irreducible unitary cuspidal representation of GLm(AQ), m ≥ 2.
Assume that π is self-contragredient. The author gets upper and lower bounds of the same
order for fractional moments of automorphic L-function L(s, π) on the critical line under
Generalized Ramanujan Conjecture; the upper bound being conditionally subject to the
truth of Generalized Riemann Hypothesis. |
Keywords： |
Moments, Automorphic L-functions, GRC |
Classification： |
11F70, 11M26 |
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