Identities for a Special Finite Sum Related to the Dedekind Sums and Fibonacci Numbers
| dc.contributor.author | Elif Cetin | |
| dc.date.accessioned | 2025-04-14T05:52:18Z | |
| dc.date.available | 2025-04-14T05:52:18Z | |
| dc.date.issued | 2023 | |
| dc.description.abstract | The origin of this article is to achieve original equations related to the special finite sum C(μ,β;1), which is connected with Dedekind, Hardy, Simsek, and many other finite sums. By using the analytic properties of this sum, many useful identities are established between the C(μ,β;1) sum and other well-known finite sums. Through the use of these identities, the reciprocity law of this sum is obtained. Furthermore, another reciprocity law of the sum C(μ,β;1) is presented for μ and β are particular Fibonacci numbers. This remarkable result establishes a connection between number theory and analysis. | |
| dc.identifier.DOI-ID | 10.54287/gujsa.1280707 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14701/55217 | |
| dc.language.iso | İngilizce | |
| dc.subject | Matematik | |
| dc.title | Identities for a Special Finite Sum Related to the Dedekind Sums and Fibonacci Numbers |