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Uniqueness of L functions with special class of meromorphic functions via sharing of pre-image sets

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Abstract

In this article, we address the uniqueness problem of Selberg class L-functions in relation to a question posed in a previous work by Khoai (Ann Polon Math 126:265-278, 2021). The focus of our investigations is to determine the uniqueness of Selberg class L-functions when considered alongside an arbitrary meromorphic function f. The current study expands upon and generalizes the scope of a previous study presented in the paper Khoai (Ann Polon Math 126:265-278, 2021). Furthermore, to provide an answer to the same question that was initially raised in Khoai (Ann Polon Math 126:265-278, 2021), we conveniently tackle a previously unexplored aspect of the uniqueness problem in the context of Selberg class L-functions in Khoai (Ann Polon Math 126:265-278, 2021).

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Acknowledgements

The First author is thankful to Council of Scientific and Industrial Research (India) for financial support under File No: 09/106(0200)/2019-EMR-I. The second author is thankful to PRG programme for financial assistance.

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  1. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, 741235, India

    Arpita Kundu & Abhijit Banerjee

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  1. Arpita Kundu
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  2. Abhijit Banerjee
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Correspondence to Arpita Kundu.

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Kundu, A., Banerjee, A. Uniqueness of L functions with special class of meromorphic functions via sharing of pre-image sets. Rend. Circ. Mat. Palermo, II. Ser (2023). https://doi.org/10.1007/s12215-023-00981-6

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  • DOI: https://doi.org/10.1007/s12215-023-00981-6

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