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

Keiju Sono

Open Mathematics (2014)

  • Volume: 12, Issue: 6, page 848-860
  • ISSN: 2391-5455

Abstract

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In 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.

How to cite

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Keiju Sono. "Upper bounds for the moments of derivatives of Dirichlet L-functions." Open Mathematics 12.6 (2014): 848-860. <http://eudml.org/doc/269139>.

@article{KeijuSono2014,
abstract = {In 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.},
author = {Keiju Sono},
journal = {Open Mathematics},
keywords = {Dirichlet L-function; Central value; Moment; Generalized Riemann hypothesis; Dirichlet -function; central value; moment; generalized Riemann hypothesis},
language = {eng},
number = {6},
pages = {848-860},
title = {Upper bounds for the moments of derivatives of Dirichlet L-functions},
url = {http://eudml.org/doc/269139},
volume = {12},
year = {2014},
}

TY - JOUR
AU - Keiju Sono
TI - Upper bounds for the moments of derivatives of Dirichlet L-functions
JO - Open Mathematics
PY - 2014
VL - 12
IS - 6
SP - 848
EP - 860
AB - In 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.
LA - eng
KW - Dirichlet L-function; Central value; Moment; Generalized Riemann hypothesis; Dirichlet -function; central value; moment; generalized Riemann hypothesis
UR - http://eudml.org/doc/269139
ER -

References

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