Geodesic
The Trace Form Over Cyclic Number Fields
Canadian journal of mathematics, Tome 73 (2021) no. 4, pp. 947-969

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DOI

In the mid 80’s Conner and Perlis showed that for cyclic number fields of prime degree p the isometry class of integral trace is completely determined by the discriminant. Here we generalize their result to tame cyclic number fields of arbitrary degree. Furthermore, for such fields, we give an explicit description of a Gram matrix of the integral trace in terms of the discriminant of the field.
DOI : 10.4153/S0008414X20000255
Mots-clés : Cyclic number fields, trace form 
Bolaños, Wilmar; Mantilla-Soler, Guillermo. The Trace Form Over Cyclic Number Fields. Canadian journal of mathematics, Tome 73 (2021) no. 4, pp. 947-969. doi: 10.4153/S0008414X20000255
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     title = {The {Trace} {Form} {Over} {Cyclic} {Number} {Fields}},
     journal = {Canadian journal of mathematics},
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     year = {2021},
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