Balancing Dirichlet series and related L-functions

Sudhansu S. Rout () and G. K. Panda ()
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Sudhansu S. Rout: National Institute of Technology Rourkela
G. K. Panda: National Institute of Technology Rourkela

Indian Journal of Pure and Applied Mathematics, 2014, vol. 45, issue 6, 943-952

Abstract: Abstract We study the lacunary Dirichlet series obtained from the reciprocals of s th powers of balancing numbers. This function admits an analytic continuation to the entire complex plane. The series converges to irrational numbers at odd negative integral arguments. Finally, we also study the analytic continuation of the balancing L-function.

Keywords: Balancing numbers; Dirichlet series; L-function (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s13226-014-0097-0

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