Degree gap of polynomials of small range sum
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866913524628848640 |
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| author | Markó, Ádám Somlai, Gábor |
| author_facet | Markó, Ádám Somlai, Gábor |
| contents | Polynomials of degree $\frac{p-1}{2}$ of range sum $p$ were determined by the second authors relying on a joint work of the authors by Kiss and Nagy. We prove that for large enough primes there is no polynomial of degree $\frac{p+1}{2}$ of range sum $p$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_16437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Degree gap of polynomials of small range sum Markó, Ádám Somlai, Gábor Number Theory Polynomials of degree $\frac{p-1}{2}$ of range sum $p$ were determined by the second authors relying on a joint work of the authors by Kiss and Nagy. We prove that for large enough primes there is no polynomial of degree $\frac{p+1}{2}$ of range sum $p$. |
| title | Degree gap of polynomials of small range sum |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.16437 |