2 00 6 On the mean values of Dirichlet L - functions H . M . BUI and J . P . KEATING School of Mathematics University of Bristol Bristol
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چکیده
We study the 2k th power moment of Dirichlet L-functions L(s, χ) at the centre of the critical strip (s = 1/2), where the average is over all primitive characters χ (mod q). We extend to this case the hybrid Euler-Hadamard product results of Gonek, Hughes & Keating for the Riemann zeta function. This allows us to recover conjectures for the moments based on random matrix models, incorporating the arith-metical terms in a natural way.
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N ov 2 00 6 On the mean values of Dirichlet L - functions
We study the 2k th power moment of Dirichlet L-functions L(s, χ) at the centre of the critical strip (s = 1/2), where the average is over all primitive characters χ (mod q). We extend to this case the hybrid Euler-Hadamard product results of Gonek, Hughes & Keating for the Riemann zeta function. This allows us to recover conjectures for the moments based on random matrix models, incorporating t...
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تاریخ انتشار 2009