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On the Uniqueness of L-functions and Meromorphic Functions Sharing a Set

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Abstract

The paper presents general criterions for the uniqueness of a nonconstant meromorphic function having finitely many poles and a nonconstant L-function in the Selberg class when they share a set. Our results significantly improve all the existing results in this direction [4, 16, 17, 22] with extent to the most general setting. As a consequence, we have incorporated a large number of examples in the application section showing the far reaching applications of our results.

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ACKNOWLEDGMENTS

The authors express their heartiest gratitude to the anonymous referee for his/her valuable suggestion towards the betterment of the paper.

Funding

Sanjay Mallick is thankful to ‘‘Science and Engineering Research Board, Department of Science and Technology, Government of India’’ for financial support to pursue this research work under the project file no. EEQ/2021/000316.

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Authors and Affiliations

  1. Cooch Behar Panchanan Barma University, West Bengal, India

    S. Mallick & D. Sarkar

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  1. S. Mallick
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  2. D. Sarkar
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Mallick, S., Sarkar, D. On the Uniqueness of L-functions and Meromorphic Functions Sharing a Set. J. Contemp. Mathemat. Anal. 58, 264–281 (2023). https://doi.org/10.3103/S1068362323040064

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