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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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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Citation Formats

R. G. Uysal, E. Özman, R. Newton, A. Manzateanu, and N. Sutherland, The Hasse Norm Principle in Global Function Fields. 2022.