Small solutions of the congruencea 1 x 1 2 +a 2 x 2 2 +a 3 x 3 2 +a 4 x 4 2 ≡c(modp)

DOI10.1007/BF02560204zbMath0912.11015MaRDI QIDQ4397379

Zhiyong Zheng, Todd Cochrane

Publication date: 30 September 1998

Published in: Acta Mathematica Sinica (Search for Journal in Brave)

zbMATH Keywords

small solutionscongruencequadratic forms over finite fields

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Finite fields and commutative rings (number-theoretic aspects) (11T99) Congruences in many variables (11D79)

Related Items (2)

SOLUTIONS TO DIAGONAL CONGRUENCES WITH VARIABLES RESTRICTED TO A BOX ⋮ The equation \(x_1x_2=x_3x_4+\lambda \) in fields of prime order and applications

Cites Work

• Unnamed Item
• Small zeros of quadratic forms modulo \(p\). III
• The congruence \(x_ 1x_ 2\equiv x_ 3x_ 4\pmod p\), the equation \(x_ 1x_ 2=x_ 3x_ 4\), and mean values of character sums
• Small solutions of quadratic congruences
• On small zeros of quadratic forms over finite fields (II)
• Weighted Quadratic Partitions Over a Finite Field

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