Upper bounds for the moments of derivatives of Dirichlet L-functions-Reference-Cited by-同舟云学术

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Upper bounds for the moments of derivatives of Dirichlet L-functions

Published:2014-01-01 Issue:6 Volume:12 Page:
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Sono Keiju

Abstract

AbstractIn this paper, we give certain upper bounds for the 2k-th moments, k ≥ 1/2, of derivatives of Dirichlet L-functions at s = 1/2 under the assumption of the Generalized Riemann Hypothesis.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s11533-013-0382-x.pdf

Reference18 articles.

1. Bui H.M., Milinovich M.B., Central values of derivatives of Dirichlet L-functions, Int. J. Number Theory, 2011, 7(2), 371–388

2. Chandee V., Explicit upper bounds for L-functions on the critical line, Proc. Amer. Math. Soc., 2009, 137(12), 4049–4063

3. Chandee V., Li X., Lower bounds for small fractional moments of Dirichlet L-functions, Int. Math. Res. Not. IMRN, 2013, 19, 4349–4381

4. Conrey J.B., The fourth moment of derivatives of the Riemann zeta-function, Quart. J. Math. Oxford, 1988, 39(153), 21–36

5. Grad. Texts in Math.;H Davenport,2000

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2. Moments of the products of quadratic twists of automorphic L-functions;Manuscripta Mathematica;2016-02-02

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