Abstract
We establish uniqueness theorems of L-functions in the extended Selberg class, which show how an L-function and a meromorphic function are uniquely determined by their shared values in two finite sets. This can be seen as a new solution of a problem proposed by Gross.
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Project supported by the National Natural Science Foundation of China (11301076, 11571288 and 11971401), and the Natural Science Foundation of Fujian Province, China (2018J01658).
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Chen, J., Qiu, C. Uniqueness theorems of L-functions in the extended Selberg class. Acta Math Sci 40, 970–980 (2020). https://doi.org/10.1007/s10473-020-0406-0
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DOI: https://doi.org/10.1007/s10473-020-0406-0