The Hasse Norm Principle in Global Function Fields
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866913210312949760 |
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| author | Mânzăţeanu, Adelina Newton, Rachel Ozman, Ekin Sutherland, Nicole Uysal, Rabia Gülşah |
| author_facet | Mânzăţeanu, Adelina Newton, Rachel Ozman, Ekin Sutherland, Nicole Uysal, Rabia Gülşah |
| contents | Let $L$ be a finite extension of $\mathbb{F}_q(t)$. We calculate the proportion of polynomials of degree $d$ in $\mathbb{F}_q[t]$ that are everywhere locally norms from $L/\mathbb{F}_q(t)$ which fail to be global norms from $L/\mathbb{F}_q(t)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_01451 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The Hasse Norm Principle in Global Function Fields Mânzăţeanu, Adelina Newton, Rachel Ozman, Ekin Sutherland, Nicole Uysal, Rabia Gülşah Number Theory 11N45, 11R58 (Primary), 11R37, 14G12, 11G35 (Secondary) Let $L$ be a finite extension of $\mathbb{F}_q(t)$. We calculate the proportion of polynomials of degree $d$ in $\mathbb{F}_q[t]$ that are everywhere locally norms from $L/\mathbb{F}_q(t)$ which fail to be global norms from $L/\mathbb{F}_q(t)$. |
| title | The Hasse Norm Principle in Global Function Fields |
| topic | Number Theory 11N45, 11R58 (Primary), 11R37, 14G12, 11G35 (Secondary) |
| url | https://arxiv.org/abs/2003.01451 |