| Title |
Zeros of the Lerch transcendent function / |
| Authors |
Garunkštis, Ramūnas ; Grigutis, Andrius |
| DOI |
10.3846/13926292.2012.662532 |
| Full Text |
|
| Is Part of |
Mathematical modelling and analysis = Matematinis modeliavimas ir analizė / Vilnius Gediminas Technical University, Institute of Mathematics and Informatics.. Vilnius : Technika. 2012, vol. 17, no. 2, p. 245-250.. ISSN 1392-6292 |
| Keywords [eng] |
Polylogarithm ; Lerch transcendent ; Zero distribution |
| Abstract [eng] |
We investigate the distribution of zeros of the Lerch transcendent function Phi(q, s, alpha) = Sigma(infinity)(n=0) q(n) (n + alpha)(-s). We find an upper and lower estimates of zeros of the function Phi(q, s, alpha) in any rectangle {s : sigma(1) < Re s < sigma(2) <= 1.73 ... , 0 < Im s <= T}. Further we are interested in a computer calculations concerning the zeros of Phi(q, s, alpha) in {s : Re s > 1, 0 < Im s <= 1000}. |
| Published |
Vilnius : Technika |
| Type |
Journal article |
| Language |
English |
| Publication date |
2012 |
