Functiones et Approximatio Commentarii Mathematici

Inhomogeneous quadratic congruences

S. Baier and T.D. Browning

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For given positive integers $a,b,q$ we investigate the density of solutions $(x,y)\in \mathbb{Z}^2$ to congruences $ax+by^2\equiv 0 \bmod{q}$.

Article information

Funct. Approx. Comment. Math., Volume 47, Number 2 (2012), 267-286.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 11N69: Distribution of integers in special residue classes
Secondary: 11D45: Counting solutions of Diophantine equations 11D79: Congruences in many variables

quadratic congruences Manin's conjecture Gauss sums


Baier, S.; Browning, T.D. Inhomogeneous quadratic congruences. Funct. Approx. Comment. Math. 47 (2012), no. 2, 267--286. doi:10.7169/facm/2012.47.2.9.

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