Abstract
Let $L/\mathbb {Q}$ be a cyclic extension of degree~$p$, where $p$ is an odd unramified prime in $L/\mathbb {Q}$. An explicit description of the integral trace form $Tr _{L/\mathbb {Q}}(x^2)|_{\mathfrak O_L}$, where~$\mathfrak O_L$ is the ring of algebraic integers of $L$, is given, and an application to finding the minima of certain algebraic lattices is presented.
Citation
Everton Luiz de Oliveira. J. Carmelo Interlando. Trajano Pires da Nóbrega Neto. José Othon Dantas Lopes. "The integral trace form of cyclic extensions of odd prime degree." Rocky Mountain J. Math. 47 (4) 1075 - 1088, 2017. https://doi.org/10.1216/RMJ-2017-47-4-1075
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