The Hasse Norm Principle For Biquadratic Extensions
Nick Rome1
1 School of Mathematics University of Bristol Bristol, BS8 1TW, UK
Journal de Théorie des Nombres de Bordeaux, Volume 30 (2018) no. 3, pp. 947-964.

We give an asymptotic formula for the number of biquadratic extensions of the rationals of bounded discriminant that fail the Hasse norm principle.

Nous donnons une formule asymptotique pour le nombre d’extensions biquadratiques du corps des rationnels de discriminant borné qui contredisent le principe de norme de Hasse.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/jtnb.1058
Classification: 11N25,  11R16
Keywords: Hasse norm theorem, Biquadratic extensions, character sums
Nick Rome 1

1 School of Mathematics University of Bristol Bristol, BS8 1TW, UK 
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Nick Rome. The Hasse Norm Principle For Biquadratic Extensions. Journal de Théorie des Nombres de Bordeaux, Volume 30 (2018) no. 3, pp. 947-964. doi : 10.5802/jtnb.1058. https://jtnb.centre-mersenne.org/articles/10.5802/jtnb.1058/

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