Volume 14 - Issue 3 (2) | PP: 56 - 62
Language : English
DOI : https://doi.org/10.31559/glm2024.14.3.2
DOI : https://doi.org/10.31559/glm2024.14.3.2
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Irrational Outputs from Rational Inputs in Theta-3 Functions Using Dirichlet’s Theorem
Received Date | Revised Date | Accepted Date | Publication Date |
24/7/2024 | 5/9/2024 | 12/9/2024 | 14/10/2024 |
Abstract
Theta Functions are not an easy subject of mathematics because new researches about this wide topic are still being published regularly. The findings about Theta Functions lead directly to many applications in different fields of applied mathematics and help also to develop old interesting mathematical topics such as Poisson summation and Riemann Zeta Function. This work proves by using a theorem of Dirichlet and a previously demonstrated useful approximation that the rational inputs of Theta-3 Functions give only irrationals as outputs of these functions. This paper applies only simple notions of sequences and represents an opportunity for the students of mathematics to easily understand the steps of the demonstrations.
How To Cite This Article
Louiz , A. (2024). Irrational Outputs from Rational Inputs in Theta-3 Functions Using Dirichlet’s Theorem . General Letters in Mathematics, 14 (3), 56-62, 10.31559/glm2024.14.3.2
Copyright © 2024, This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.