Symmetry of zeros of Lerch zeta-function for equal parameters
| Autor: | Garunkštis, Ramūnas, Tamošiūnas, Rokas |
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| Rok vydání: | 2019 |
| Předmět: | |
| Zdroj: | Lith. Math. J. 57(4) (2017), 433-440 |
| Druh dokumentu: | Working Paper |
| Popis: | For most values of parameters $\lambda$ and $\alpha$, the zeros of the Lerch zeta-function $L(\lambda, \alpha, s)$ are distributed very chaotically. In this paper we consider the special case of equal parameters $L(\lambda, \lambda, s)$ and show by calculations that the nontrivial zeros either lie extremely close to the critical line $\sigma = 1/2$ or are distributed almost symmetrically with respect to the critical line. We also investigate this phenomenon theoretically. Comment: 10 pages |
| Databáze: | arXiv |
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