Distribution of square-free palindromes
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866910086023086080 |
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| author | Tuxanidy, Aleksandr |
| author_facet | Tuxanidy, Aleksandr |
| contents | An exponent of distribution 1/16 is established for square-free palindromes. The main input is an upper bound for the number of palindromes, in arithmetic progressions to large moduli, divisible by large squares. Our argument combines a simplifying reformulation with exponential-sum estimates, recent work on 6-almost-prime palindromes, and the large sieve with square moduli of Baier-Zhao. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_02549 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Distribution of square-free palindromes Tuxanidy, Aleksandr Number Theory An exponent of distribution 1/16 is established for square-free palindromes. The main input is an upper bound for the number of palindromes, in arithmetic progressions to large moduli, divisible by large squares. Our argument combines a simplifying reformulation with exponential-sum estimates, recent work on 6-almost-prime palindromes, and the large sieve with square moduli of Baier-Zhao. |
| title | Distribution of square-free palindromes |
| topic | Number Theory |
| url | https://arxiv.org/abs/2603.02549 |