MEAN VALUES OF DERIVATIVES OF QUADRATIC PRIME DIRICHLET L-FUNCTIONS IN FUNCTION FIELDS
被引:0
|
作者:
Jung, Hwanyup
论文数: 0引用数: 0
h-index: 0
机构:
Chungbuk Natl Univ, Dept Math Educ, Cheongju 28644, South KoreaChungbuk Natl Univ, Dept Math Educ, Cheongju 28644, South Korea
Jung, Hwanyup
[1
]
机构:
[1] Chungbuk Natl Univ, Dept Math Educ, Cheongju 28644, South Korea
来源:
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY
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2022年
/
37卷
/
03期
关键词:
Function fields;
derivatives of L-functions;
moments of L-functions;
quadratic Dirichlet L-functions;
D O I:
10.4134/CKMS.c210205
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
In this paper, we establish an asymptotic formula for mean value of L(k)(21, chi P) averaging over P2g+1 and over P2g +2 as g-+ infinity in odd characteristic. We also give an asymptotic formula for mean value of L(k)(21,chi u) averaging over Ig+1 and over Fg +1 as g-+ infinity in even characteristic.
机构:
Kangwon Natl Univ, Dept Math Educ, Chunchen 24341, Gangwon Do, South KoreaKangwon Natl Univ, Dept Math Educ, Chunchen 24341, Gangwon Do, South Korea
Lee, Jungyun
论文数: 引用数:
h-index:
机构:
Lee, Yoonjin
TAIWANESE JOURNAL OF MATHEMATICS,
2022,
: 1113
-
1131