Conditional upper bounds on the least character non-residue
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866912966462406656 |
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| author | Pathak, Aritro |
| author_facet | Pathak, Aritro |
| contents | We extend known methods to establish upper bounds on the least character non-residues contingent on different zero-free regions within the critical strip, in particular on bounded rectangles within the critical strip along the $σ=1$ line at arbitrary heights. This relates to earlier conditional results on least character non-residues, and recent results of Granville and Soundararajan on character sums. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_13316 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Conditional upper bounds on the least character non-residue Pathak, Aritro Number Theory We extend known methods to establish upper bounds on the least character non-residues contingent on different zero-free regions within the critical strip, in particular on bounded rectangles within the critical strip along the $σ=1$ line at arbitrary heights. This relates to earlier conditional results on least character non-residues, and recent results of Granville and Soundararajan on character sums. |
| title | Conditional upper bounds on the least character non-residue |
| topic | Number Theory |
| url | https://arxiv.org/abs/2405.13316 |