On the number of zeros of diagonal cubic forms
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Publication:5906142
DOI10.1016/0022-314X(79)90023-4zbMath0399.10020MaRDI QIDQ5906142
Publication date: 1979
Published in: Journal of Number Theory (Search for Journal in Brave)
solutionszerosfinite fieldlinear recurrencediagonal cubic formscubic diophantine equationquartic diophantine equation
Forms of degree higher than two (11E76) Finite fields and commutative rings (number-theoretic aspects) (11T99) Cubic and quartic Diophantine equations (11D25) Arithmetic theory of polynomial rings over finite fields (11T55)
Related Items (13)
On the number of zeros of diagonal quartic forms over finite fields ⋮ The number of solutions of diagonal cubic equations over finite fields ⋮ On the number of zeros of diagonal cubic forms over finite fields ⋮ On the number of solutions of two-variable diagonal quartic equations over finite fields ⋮ The recurrence formula for the number of solutions of a equation in finite field ⋮ The number of rational points of certain quartic diagonal hypersurfaces over finite fields ⋮ On the number of rational points of certain algebraic varieties over finite fields ⋮ On the number of zeros to the equation \(f(x_1)+\cdots+f(x_n)=a\) over finite fields ⋮ The number of solutions of certain diagonal equations over finite fields ⋮ On the Number of Zeros of Diagonal Forms ⋮ Some Remarks on the Number of Solutions to the Equationf(X1) + … +f(Xn) = 0 ⋮ Linearly recurring solution sequences for equations over finite fields ⋮ An algorithm for computing equilibria in a linear monetary economy
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