DDDaniel Duverney
Daniel Duverney
*This is an algorithmically generated author record based on publicly available information.
Research Subjects
Daniel Duverney has a total of 6 co-authors. Here are the top co-authors by number of shared publications:
- Yohei Tachiya
Graduate School of Science and Technology, Hirosaki University, Hirosaki, Japan
4 shared publications - Takeshi Kurosawa
Department of Applied Mathematics, Tokyo University of Science Kagurazaka 1-3, Shinjuku, Tokyo 162-8601, Japan
3 shared publications - Iekata Shiokawa
Department of Mathematics, Keio University, Yokohama, Japan
2 shared publications - Yuta Suzuki
Aichi Sangyo University
2 shared publications - Carsten Elsner
Fachhochschule für die Wirtschaft University of Applied Sciences Freundallee 15 D-30173 Hannover Germany
1 shared publication - Masanobu Kaneko
Faculty of Mathematics, Kyushu University, Fukuoka, Japan
1 shared publication
Latest Publications
- 28 August 2023
- Published by Springer Nature in Research in Number Theory
- Vol. 9 (3) , 1-14
Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials
- 28 August 2023
- Published by Springer Nature in Research in Number Theory
- Vol. 9 (3) , 1-14
Algebraic and arithmetical properties of Mahler infinite products generated by the second degree polynomials
- 1 December 2022
- Published by Springer Nature in Research in Number Theory
- Vol. 8 (4) , 1-15
Transcendence of infinite products involving Fibonacci and Lucas numbers
- 1 December 2022
- Published by Springer Nature in Research in Number Theory
- Vol. 8 (4) , 1-15
Transcendence of infinite products involving Fibonacci and Lucas numbers
- 18 July 2022
- Published by Springer Nature in Periodica Mathematica Hungarica
- Vol. 86 (2) , 378-394
Linear independence of certain sums of reciprocals of the Lucas numbers
- 18 July 2022
- Published by Springer Nature in Periodica Mathematica Hungarica
- Vol. 86 (2) , 378-394
Linear independence of certain sums of reciprocals of the Lucas numbers
- 30 June 2020
- Published by Springer Nature in Acta Mathematica Hungarica
- Vol. 162 (1) , 375-392
Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers
- 30 June 2020
- Published by Springer Nature in Acta Mathematica Hungarica
- Vol. 162 (1) , 375-392
Linear independence results for sums of reciprocals of Fibonacci and Lucas numbers
- Open Access
- 30 April 2020
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 193 (2) , 291-303
Irrationality exponents of generalized Hone series
- 30 April 2020
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 193 (2) , 291-303
Open AccessIrrationality exponents of generalized Hone series
- 19 October 2019
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 191 (1) , 53-76
Irrationality exponents of numbers related with Cahen’s constant
- 19 October 2019
- Published by Springer Nature in Monatshefte für Mathematik
- Vol. 191 (1) , 53-76
Irrationality exponents of numbers related with Cahen’s constant
- Open Access
Linear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers
The aim of this paper is to give linear independence results for the values of certain series. As an application, we derive arithmetical properties of the sums of reciprocals of Fibonacci and Lucas numbers associated with certain coprime sequences $\{n_\ell\}_{\ell\geq1}$. For example, the three numbers \[ 1,\qquad\sum_{p\text{:prime}}^{}\frac{1}{F_{p^2}},\qquad\sum_{p\text{:prime}}^{}\frac{1}{L_{p^2}} \] are linearly independent over $\mathbb{Q}(\sqrt{5})$, where $\{F_n\}$ and $\{L_n\}$ are the Fibonacci and Lucas numbers, respectively.Open AccessLinear independence results for certain sums of reciprocals of Fibonacci and Lucas numbers
The aim of this paper is to give linear independence results for the values of certain series. As an application, we derive arithmetical properties of the sums of reciprocals of Fibonacci and Lucas numbers associated with certain coprime sequences $\{n_\ell\}_{\ell\geq1}$. For example, the three numbers \[ 1,\qquad\sum_{p\text{:prime}}^{}\frac{1}{F_{p^2}},\qquad\sum_{p\text{:prime}}^{}\frac{1}{L_{p^2}} \] are linearly independent over $\mathbb{Q}(\sqrt{5})$, where $\{F_n\}$ and $\{L_n\}$ are the Fibonacci and Lucas numbers, respectively.