On a Conjecture about Sums Involving Farey Fractions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914441917890560 |
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| author | Dong, Anji Li, Xinyi Nguyen, Vi Anh |
| author_facet | Dong, Anji Li, Xinyi Nguyen, Vi Anh |
| contents | In this paper, we prove a conjecture by Daniele Mundici on the sum of squared distances between consecutive elements in the $Q$-th Farey sequence for $Q\in\mathbb{Z}$ and $Q\geq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02475 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a Conjecture about Sums Involving Farey Fractions Dong, Anji Li, Xinyi Nguyen, Vi Anh Number Theory 11B57, 11N37, 11N56 In this paper, we prove a conjecture by Daniele Mundici on the sum of squared distances between consecutive elements in the $Q$-th Farey sequence for $Q\in\mathbb{Z}$ and $Q\geq 2$. |
| title | On a Conjecture about Sums Involving Farey Fractions |
| topic | Number Theory 11B57, 11N37, 11N56 |
| url | https://arxiv.org/abs/2604.02475 |