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The number of rational points of some classes of algebraic varieties over finite fields

open access: yesOpen Mathematics
Let Fq{{\mathbb{F}}}_{q} be the finite field of characteristic pp and Fq*=Fq\{0}{{\mathbb{F}}}_{q}^{* }\left={{\mathbb{F}}}_{q}\backslash \left\{0\right\}.
Zhu Guangyan   +3 more
doaj   +1 more source

Sequences of Residues in Algebraic Number Fields

open access: yesJournal of Number Theory, 1995
Let \(K\) be an algebraic number field of degree \(d\) over the rationals. \(\Lambda_ K(n,m)\) denotes the least positive number such that for almost all prime ideals \(\mathfrak p\) of \(K\) there exists an integer \(\alpha\) and a unit \(u\) in \(K\) with the property that \(\alpha,\alpha + u,\dots,\alpha + (m - 1)u\) are all \(n\)-th power residues \
openaire   +2 more sources

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