Abstract
In this paper, we study the first moment of central values of Hecke L-functions associated with quartic characters.
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Acknowledgements
P. G. is supported in part by NSFC Grants 11371043 and 11871082 and L. Z. by the FRG Grant PS43707. Parts of this work were done when P. G. visited the University of New South Wales (UNSW) in June 2017. He wishes to thank UNSW for the invitation, financial support and warm hospitality during his pleasant stay. Finally, we would like to thank the anonymous referee for his/her careful reading of the paper and many helpful comments.
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Gao, P., Zhao, L. First moment of Hecke L-functions with quartic characters at the central point. Math. Z. 294, 1841–1854 (2020). https://doi.org/10.1007/s00209-019-02311-y
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DOI: https://doi.org/10.1007/s00209-019-02311-y