Upper bounds of some special zeros for the Rankin-Selberg L-function

Rok, strany: 2020, 795 - 806

In this paper, we prove some conditional results about the order of zero at central point $s=1/2$ of the Rankin-Selberg $L$-function $L(s, π_f × \widetilde{π}_f')$. Then, we give an upper bound for the height of the first zero with positive imaginary part of $L(s, π_f × \widetilde{π}_f')$. We apply our results to automorphic $L$-functions.

ISO 690:

Bllaca, K. 2020. Upper bounds of some special zeros for the Rankin-Selberg L-function. In Mathematica Slovaca, vol. 70, no.4, pp. 795-806. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0392

APA:

Bllaca, K. (2020). Upper bounds of some special zeros for the Rankin-Selberg L-function. Mathematica Slovaca, 70(4), 795-806. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0392

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava