Abstract
In 2002, V. Kumar Murty (The conference on L functions, World Scientific, Singapore, pp. 165–174, 2007, [5]) introduced a class of L-functions, namely the Lindelöf class, which contains the Selberg class and has a ring structure attached to it. In this paper, we establish some results on the a-value distribution of elements on a subclass of the Lindelöf class. As a corollary, we also prove a uniqueness theorem in the Selberg class.
Dedicated to Prof. V. Kumar Murty on his 60th birthday
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Acknowledgements
I would like to extend my gratitude to Prof. V. Kumar Murty for his guidance and insightful comments. I would also like to thank the referee for helpful suggestions on an earlier version of this paper.
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Dixit, A.B. (2018). Uniqueness Results for a Class of L-Functions. In: Akbary, A., Gun, S. (eds) Geometry, Algebra, Number Theory, and Their Information Technology Applications. GANITA 2016. Springer Proceedings in Mathematics & Statistics, vol 251. Springer, Cham. https://doi.org/10.1007/978-3-319-97379-1_8
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DOI: https://doi.org/10.1007/978-3-319-97379-1_8
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