| Abstrakt: |
Abstract: Let $\zeta(s)$ be the Riemann zeta-function. If $t\geq6.8$ and $\sigma>1/2$, then it is known that the inequality $|\zeta(1-s)|>|\zeta(s)|$ is valid except at the zeros of $\zeta(s)$. Here we investigate the Lerch zeta-function $L(\lambda,\alpha,s)$ which usually has many zeros off the critical line and it is expected that these zeros are asymmetrically distributed with respect to the critical line. However, for equal parameters $\lambda=\alpha$ it is still possible to obtain a certain version of the inequality $|L(\lambda,\lambda,1-\overline{s})|>|L(\lambda,\lambda,s)|$. |
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