ON THE NUMBER OF SOLUTIONS TO CERTAIN DIAGONAL EQUATIONS OVER FINITE FIELDS

DOI10.1142/S1793042110002776zbMath1238.11044OpenAlexW2062696950MaRDI QIDQ5306061

Ioulia N. Baoulina

Publication date: 29 March 2010

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

Full work available at URL: https://doi.org/10.1142/s1793042110002776

zbMATH Keywords

character sumJacobi sumdiagonal equationequation over 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)

Related Items (6)

On a class of diagonal equations over finite fields ⋮ On the number of solutions of certain diagonal equations over finite fields ⋮ On diagonal equations over finite fields via walks in NEPS of graphs ⋮ Congruences for the Andrews spt function ⋮ On diagonal equations over finite fields ⋮ Counting compositions over finite abelian groups

Cites Work

• The number of solutions of certain diagonal equations over finite fields
• On the number of solutions of diagonal equations over a finite field
• Generalizations of the Markoff-Hurwitz equations over finite fields
• ON THE EQUATION $(x_1^{m_1}+\cdots+x_n^{m_n})^k=ax_1\cdots x_n$ OVER A FINITE FIELD
• Factorization formulae on counting zeros of diagonal equations over finite fields
• Resolution of the sign ambiguity in the determination of the cyclotomic numbers of order 4 and the corresponding Jacobsthal sum.
• Numbers of solutions of equations in finite fields

This page was built for publication: ON THE NUMBER OF SOLUTIONS TO CERTAIN DIAGONAL EQUATIONS OVER FINITE FIELDS