The Hasse norm principle in global function fields

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 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/92595
Identification Number/DOI	10.1007/978-3-030-77700-5_9
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Springer
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