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The Hasse norm principle in global function fields

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Manzateanu, A., Newton, R. ORCID: https://orcid.org/0000-0003-4925-635X, Ozman, E., Sutherland, N. and Uysal, R. G. (2021) The Hasse norm principle in global function fields. In: Cojocaru, A. C., Ionica, S. and Lorenzo Garcia, E. (eds.) Women in Numbers Europe III: Research Directions in Number Theory. Papers from the Workshop (WIN-E3) held at La Hublais, Cesson-Sévigné (France), August 26-30, 2019. Association for Women in Mathematics Series, 24. Springer, Cham, pp. 275-290, X, 328. ISBN 9783030777005

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To link to this item DOI: 10.1007/978-3-030-77700-5_9

Abstract/Summary

Let L be a finite extension of F_q(t). We calculate the proportion of polynomials of degree d in F_q[t] that are everywhere locally norms from L/F_q(t) which fail to be global norms from L/F_q(t).

Item Type:Book or Report Section
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:92595
Publisher:Springer
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