Zeros of the lerch transcendent function
DOI: https://doi.org/10.3846/13926292.2012.662532Abstract
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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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