Abstract
We compute the mean value of derivatives of L-functions for cyclotomic characters in function fields. We also show the non-vanishing property of derivatives of L-functions for cyclotomic characters in function fields.
| Original language | English |
|---|---|
| Pages (from-to) | 1113-1131 |
| Number of pages | 19 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 26 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2022 |
Bibliographical note
Funding Information:The authors would like to thank the reviewers for very helpful comments. J. Lee is supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1I1A3057692). Y. Lee is a corresponding author and supported by the Ewha Womans University Research Grant of 2021, the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (NRF-2022R1A2C1003203), and Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2019R1A6A1A11051177).
Publisher Copyright:
© 2022, Mathematical Society of the Rep. of China. All rights reserved.
Keywords
- central value
- function field
- L-function
- mean value