ON THE EQUATION $(x_1^{m_1}+\cdots+x_n^{m_n})^k=ax_1\cdots x_n$ OVER A FINITE FIELD

DOI10.1142/S1793042106000607zbMath1154.11316MaRDI QIDQ3421790

Ioulia N. Baoulina

Publication date: 8 February 2007

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Gauss sumcharacter sumdiagonal equationequation in a finite field

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Other character sums and Gauss sums (11T24) Congruences in many variables (11D79) Varieties over finite and local fields (11G25)

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ON THE NUMBER OF SOLUTIONS TO CERTAIN DIAGONAL EQUATIONS OVER FINITE FIELDS ⋮ Solutions of equations over finite fields: Enumeration via bijections

Cites Work

• On some equations over finite fields
• Generalizations of the Markoff-Hurwitz equations over finite fields
• Certain special equations in a finite field
• Resolution of the sign ambiguity in the determination of the cyclotomic numbers of order 4 and the corresponding Jacobsthal sum.
• ON A PROBLEM OF CARLITZ
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