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A note on prime \(k\)-th power nonresidues - MaRDI portal

A note on prime \(k\)-th power nonresidues (Q1055804)

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scientific article; zbMATH DE number 3825908
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A note on prime \(k\)-th power nonresidues
scientific article; zbMATH DE number 3825908

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    A note on prime \(k\)-th power nonresidues (English)
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    1983
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    The autbhor shows that if \(p\) is a prime and \(n<c\log p/\log\log p\) then the \(n\)th least prime \(k\)th power nonresidue modulo \(p\) is \(O(p^{1/4+\varepsilon}\). \textit{K. K. Norton} has obtained a stronger result (see [Notices Am. Math. Soc. 21 (1974)]).
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    prime k-th power nonresidues
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    character sum estimates
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