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The Hasse Norm Principle in Global Function Fields
Date
2022-02-01
Author
Uysal, Rabia Gülşah
Özman, Ekin
Newton , Rachel
Manzateanu , Adalina
Sutherland, Nichole
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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LetLbe a finite extension ofFq(t)" role="presentation" style="box-sizing: inherit; display: inline; line-height: normal; font-size: 18px; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">𝔽𝑞(𝑡)Fq(t). We calculate the proportion of polynomials of degreedinFq[t]" role="presentation" style="box-sizing: inherit; display: inline; line-height: normal; font-size: 18px; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">𝔽𝑞[𝑡]Fq[t]that are everywhere locally norms fromL/Fq(t)" role="presentation" style="box-sizing: inherit; display: inline; line-height: normal; font-size: 18px; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">𝐿/𝔽𝑞(𝑡)L/Fq(t)which fail to be global norms fromL/Fq(t)" role="presentation" style="box-sizing: inherit; display: inline; line-height: normal; font-size: 18px; word-spacing: normal; word-wrap: normal; white-space: nowrap; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; padding: 0px; margin: 0px; position: relative;">𝐿/𝔽𝑞(𝑡)L/Fq(t).
URI
https://link.springer.com/book/10.1007/978-3-030-77700-5
https://hdl.handle.net/11511/101508
Relation
Women in Numbers Europe 3
Collections
Department of Mathematics, Book / Book chapter
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R. G. Uysal, E. Özman, R. Newton, A. Manzateanu, and N. Sutherland,
The Hasse Norm Principle in Global Function Fields
. 2022.