Value Distribution of L-Functions with Rational Moving Targets

Matthew Cardwell; Zhuan Ye

doi:10.4236/apm.2013.39098

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Advances in Pure Mathematics > Vol.3 No.9, December 2013

Value Distribution of L-Functions with Rational Moving Targets ()

Matthew Cardwell, Zhuan Ye

Department of Mathematical Sciences, Northern Illinois University, DeKalb, USA.
Intelligent Medical Objects, Inc., Northbrook, USA.

DOI: 10.4236/apm.2013.39098 PDF HTML XML 2,879 Downloads 3,951 Views Citations

Abstract

We prove some value-distribution results for a class of L-functions with rational moving targets. The class contains Selberg class, as well as the Riemann-zeta function.

Keywords

Value Distribution; Moving Target; L-Function; Selberg Class

Share and Cite:

M. Cardwell and Z. Ye, "Value Distribution of L-Functions with Rational Moving Targets," Advances in Pure Mathematics, Vol. 3 No. 9, 2013, pp. 719-723. doi: 10.4236/apm.2013.39098.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	J. Steuding, “Value Distribution of L-Functions,” Number 1877 in Lecture Notes in Mathematics, Springer, 2007.
[2]	H. S. A. Potter, “The Mean Values of Certain Dirichlet Series I,” Proceedings London Mathematical Society, Vol. 46, No. 2, 1940, pp. 467-468. http://dx.doi.org/10.1112/plms/s2-46.1.467
[3]	E. C. Titchmarsh, “The Theory of Functions,” 2nd Edition, Oxford, 1939.