Zeros of the lerch transcendent function
Abstract
We investigate the distribution of zeros of the Lerch transcendent function 
We find an upper and lower estimates of zeros of the function Φ(q,s,a) in any rectangle {s : σ1 < Re s < σ2 ≤ 1.73…, 0 < Im s ≤ T}. Further we are interested in a computer calculations concerning the zeros of Φ(q,s,α) in {s: Re s > 1, 0 < Im s ≤ 1000}.
Keywords:
Polylogarithm, Lerch transcendent, zero distributionHow to Cite
Garunkštis, R., & Grigutis, A. (2012). Zeros of the lerch transcendent function. Mathematical Modelling and Analysis, 17(2), 245-250. https://doi.org/10.3846/13926292.2012.662532
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Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
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Published
2012-04-01
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Copyright
Copyright (c) 2012 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Garunkštis, R., & Grigutis, A. (2012). Zeros of the lerch transcendent function. Mathematical Modelling and Analysis, 17(2), 245-250. https://doi.org/10.3846/13926292.2012.662532