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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.06509 |
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| _version_ | 1866914001342955520 |
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| author | Chua, Hongshen |
| author_facet | Chua, Hongshen |
| contents | This paper introduces a variation on an identity by Bruckman and Good. Using this identity, we are able to derive various well-known sums involving reciprocals of Fibonacci and Lucas numbers, including the case when the indices form an arithmetic progression. Moreover, we provide generalizations of the Millin series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_06509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On an Identity by Bruckman and Good Chua, Hongshen Number Theory 11B39 (Primary), 97I30(Secondary) This paper introduces a variation on an identity by Bruckman and Good. Using this identity, we are able to derive various well-known sums involving reciprocals of Fibonacci and Lucas numbers, including the case when the indices form an arithmetic progression. Moreover, we provide generalizations of the Millin series. |
| title | On an Identity by Bruckman and Good |
| topic | Number Theory 11B39 (Primary), 97I30(Secondary) |
| url | https://arxiv.org/abs/2501.06509 |