Infinite series involving Riemann's zeta and Dirichlet's lambda tails, and weighted by three harmonic-like elementary symmetric functions are examined. By means of integral …
V Stojiljkovic - Gulf Journal of Mathematics, 2023 - gjom.org
In this article, we obtain an integral representation for a remainder sum of the Dirichlet Eta function. We then obtain numerous generating functions and series concerning the usage of …
V Stojiljkovic - International Journal of Emerging …, 2022 - researchgate.net
Various Series Concerning the Zeta Function Page 1 IJEMD-M, 1 (2) (2022), 23 - 34 https://doi.org/10.54938/ijemdm.2022.01.2.65 International Journal of Emerging Multidiciplinaries: Mathematics Research Paper Journal …
A Sîntămărian, O Furdui, A Sîntămărian… - Sharpening Mathematical …, 2021 - Springer
The limit equals 2. Let xn= 2 n sin 1+ 2 n sin 2+⋯+ 2 n sin nn x_ n=\sqrt n 2^ n\,\sin 1+ 2^ n\,\sin 2+ ⋯+ 2^ n\,\sin n. Since 2 n sin i≤ 2 n 2^ n\,\sin i ≦ 2^ n, we get that xn≤ 2 nn x_ n …