Mean Values of Derivatives of $L$-functions for Cyclotomic Characters in Function Fields
Author:
Affiliation:
1. Department of Mathematics Education, Kangwon National University, South Korea
2. Department of Mathematics, Ewha Womans University, South Korea
Publisher
The Mathematical Society of the Republic of China
Subject
General Mathematics
Reference8 articles.
1. J. Andrade, Mean values of derivatives of $L$-functions in function fields: II, J. Number Theory 183 (2018), 24–39.
2. ____, Mean values of derivatives of $L$-functions in function fields: III, Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 4, 905–913.
3. J. C. Andrade and J. P. Keating, The mean value of $L(\frac{1}{2},\chi)$ in the hyperelliptic ensemble, J. Number Theory 132 (2012), no. 12, 2793–2816.
4. J. Andrade and S. Rajagopal, Mean values of derivatives of $L$-functions in function fields: I, J. Math. Anal. Appl. 443 (2016), no. 1, 526–541.
5. J. Lee and Y. Lee, Non-vanishing of $L$-functions for cyclotomic characters in function fields, Proc. Amer. Math. Soc. 150 (2022), no. 2, 455–468.
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