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Graphs associated with the map $x \mapsto x+x^{-1}$ in finite fields of characteristic two
Graphs finite fields of characteristic two Number Theory
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2011/9/19
Abstract: In this paper we study the structure of the graphs associated with the iterations of the map $x \mapsto x+x^{-1}$ over finite fields of characteristic two. Formulas are given for the length ...
Additive decompositions induced by multiplicative characters over finite fields
Characters Residuacity Finite Fields
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2011/8/26
Abstract: In 1952, Perron showed that quadratic residues in a field of prime order satisfy certain ad- ditive properties. This result has been generalized in different directions, and our contribution...