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Computation of the number of representations of the elements of the field \(GF(p)\) as a sum of \(l\)th powers - MaRDI portal

Computation of the number of representations of the elements of the field \(GF(p)\) as a sum of \(l\)th powers (Q1303329)

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scientific article; zbMATH DE number 1337567
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English
Computation of the number of representations of the elements of the field \(GF(p)\) as a sum of \(l\)th powers
scientific article; zbMATH DE number 1337567

    Statements

    Computation of the number of representations of the elements of the field \(GF(p)\) as a sum of \(l\)th powers (English)
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    5 October 1999
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    The number of representations of an element of \(\mathbb{F}_p\) as a sum of \(\ell\)-th powers with the condition that each \(\ell\)-th power occurs in the sum less than \(k\) times, is calculated. The problem reduces to calculations in cyclotomic fields.
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    sums of powers
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    finite fields
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    cyclotomic fields
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