Zeros of the lerch transcendent function


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}.

Keyword : Polylogarithm, Lerch transcendent, zero distribution

How to Cite
Garunkštis, R., & Grigutis, A. (2012). Zeros of the lerch transcendent function. Mathematical Modelling and Analysis, 17(2), 245-250.
Published in Issue
Apr 1, 2012
Abstract Views
PDF Downloads
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.