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Value distributions of L-functions concerning polynomial sharing

Nintu Mandal
대한수학회 (The Korean Mathematical Society)|2021.10|대한수학회논문집 (Communications of the KMS)|제36권 제4호|pp. 729-741|DOI 10.4134/CKMS.c200319

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키워드

uniquenessMeromorphic functionsweighted sharingL-functions
주제분류수학

초록

We mainly study the value distributions of L-functions in the extended selberg class. Concerning weighted sharing, we prove an uniqueness theorem when certain differential monomial of a meromorphic function share a polynomial with certain differential monomial of an L-function which improve and generalize some recent results due to Liu, Li and Yi \cite{liu17}, Hao and Chen \cite{hao18} and Mandal and Datta \cite{mandal20}.

Abstract

We mainly study the value distributions of L-functions in the extended selberg class. Concerning weighted sharing, we prove an uniqueness theorem when certain differential monomial of a meromorphic function share a polynomial with certain differential monomial of an L-function which improve and generalize some recent results due to Liu, Li and Yi \cite{liu17}, Hao and Chen \cite{hao18} and Mandal and Datta \cite{mandal20}.

참고문헌 (17)

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  17. J.-L. Zhang, "Some results related to a conjecture of R. Br¨uck, JIPAM", J. Inequal. Pure Appl. Math, 8(1) (2007)

관련 논문AI추천

Value Distribution of L-functions and a Question of Chung-Chun YangHong-Xun Yi, Qian-Qian Yuan, Xiao-Min Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제3호Value sharing and uniqueness of certain classes of meromorphic functionsPulak Sahoo, Samar Halder대한수학회 · 대한수학회논문집2025 · 제40권 제1호WEIGHTED SHARING AND UNIQUENESS OF ENTIRE OR MEROMORPHIC FUNCTIONSSUBHAS S.BHOOSNURMATH, Veena L. Pujari대한수학회 · 대한수학회보2015 · 제52권 제1호VALUE DISTRIBUTION AND UNIQUENESS OF CERTAIN TYPES OF DIFFERENCE POLYNOMIALSHARINA P. WAGHAMORE, RAJESHWARI S.장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제1호Uniqueness and Value-sharing of Entire FunctionsChao Meng, Xiaojuan Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호Two linear polynomials shared by an entire function and its linear differential polynomialsGoutam Kumar Ghosh대한수학회 · 대한수학회논문집2023 · 제38권 제2호

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