ON THE NUMBER OF SOLUTIONS TO THE EQUATION (x1 + ⋯ + xn)2 = ax1 ⋯ xn IN A FINITE FIELD

DOI10.1142/S1793042108001675zbMath1204.11067MaRDI QIDQ5506313

Ioulia N. Baoulina

Publication date: 28 January 2009

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

zbMATH Keywords

Gauss sumcharacter sumJacobi sumEquation in a finite field

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Congruences in many variables (11D79) Varieties over finite and local fields (11G25)

Related Items (2)

On a class of diagonal equations over finite fields ⋮ On the Carlitz problem on the number of solutions to some special equations over finite fields

Cites Work

• 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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