期刊论文详细信息
Proceedings of the Indian Academy of Sciences. Mathematical sciences | |
Character average of fourth power of Dirichlet L-series at unity | |
VIVEK V RANE^11  | |
[1] A-3/203, Anand Nagar, Dahisar, Mumbai 400 068, India^1 | |
关键词: Hurwitz zeta function; Dirichlet character; Dirichlet $L$-series; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
For a Dirichlet character modulo an integer $q \geq 3$, we use a highly simple elementary method to give an asymptotic formula for $\sum_{\chi \neq \chi 0(\rm mod q)} |L(1, \chi)|^{4}$, where $\chi 0(\rm mod q)$ is the principal character. This result seems to be new.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
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RO201910256163050ZK.pdf | 346KB | download |