Analytic continuation of the Lucas zeta andL-functions
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2013/06/01
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Journal
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Indian UGC (journal)
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Refrences9
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Citations8
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Ken Kamano
Journal Category
Science
Mathematics
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Algebraic independence results for reciprocal sums of Fibonacci numbers | Acta Arithmetica |
| 16 | 2011 |
| Asymptotic representations for Fibonacci reciprocal sums and Euler’s formulas for zeta values | Journal de Théorie des Nombres de Bordeaux |
| 1 | 2009 |
| Algebraic relations for reciprocal sums of Fibonacci numbers | Acta Arithmetica |
| 18 | 2007 |
| Transcendence of Rogers-Ramanujan continued fraction and reciprocal sums of Fibonacci numbers | Proceedings of the Japan Academy, Series A, Mathematical Sciences |
| 16 | 1997 |
| Analytic continuation of the Fibonacci Dirichlet series | 2001 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 3 |
The category
Science: Mathematics 3
is the most frequently represented among the references in this article. It primarily includes studies from Acta Arithmetica and Journal de théorie des nombres de Bordeaux. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
The Zeta Function of a Recurrence Sequence of Arbitrary Degree | Mediterranean Journal of Mathematics |
| 2023 | |
| The Tribonacci Dirichlet series | Acta Mathematica Hungarica |
| 2023 | |
| On the zeros of the partial sums of the Fibonacci zeta function | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas |
| 2023 | |
Review of Quaternion Differential Equations: Historical Development, Applications, and Future Direction | Axioms |
| 2023 | |
| Multiple Lucas–Dirichlet Series Associated With Additive and Dirichlet Characters | Mediterranean Journal of Mathematics |
| 1 | 2021 |
Citations Analysis
The category
Science: Mathematics 7
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Dynamics of a family of continued fraction maps and was published in 2017. The most recent citation comes from a 2023 study titled On the zeros of the partial sums of the Fibonacci zeta function. This article reached its peak citation in 2023, with 4 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Mediterranean Journal of Mathematics cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.