- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnline Submission ㆍMy Manuscript - For Reviewers - For Editors
 Mean values of derivatives of quadratic prime Dirichlet $L$-functions in function fields Commun. Korean Math. Soc.Published online January 11, 2022 Hwanyup Jung Chungbuk National University Abstract : In this paper, we establish an asymptotic formula for mean value of $L^{(k)}(\frac{1}{2},\chi_{P})$ averaging over $\mathbb P_{2g+1}$ and over $\mathbb P_{2g+2}$ as $g\to\infty$ in odd characteristic. We also give an asymptotic formula for mean value of $L^{(k)}(\frac{1}{2},\chi_{u})$ averaging over $\mathcal I_{g+1}$ and over $\mathcal F_{g+1}$ as $g\to\infty$ in even characteristic. Keywords : function fields, derivatives of $L$-functions, moments of $L$-functions, quadratic Dirichlet $L$-functions MSC numbers : 11M38, 11M06, 11G20, 11M50 Full-Text :

 Copyright © Korean Mathematical Society. The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd