Multiple Lucas Dirichlet series associated to additive and Dirichlet\n characters

2020/04/01 by Nabin Kumar Meher, Sudhansu Sekhar Rout, Meher, Nabin Kumar +1
Mathematics · Physics and Astronomy · #30D30 #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #Primary 11M99 #Secondary 11B39

paper · pdf · doi:10.48550/arxiv.2004.00332

openalex publication_date 2020/04/01 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In this article, we obtain the analytic continuation of the multiple shifted\nLucas zeta function, multiple Lucas L-function associated to Dirichlet\ncharacters and additive characters. We then compute a complete list of exact\nsingularities and residues of these functions at these poles. Further, we show\nthe rationality of the multiple Lucas L-functions associated with quadratic\ncharacters at negative integer arguments.\n

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