Inhomogeneous quadratic congruences

S. Baier; T. D. Browning

doi:10.7169/facm/2012.47.2.9

Inhomogeneous quadratic congruences

S. Baier, T. D. Browning

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	267-286
Journal	Functiones Et Approximatio
Volume	47
Issue number	2
DOIs	https://doi.org/10.7169/facm/2012.47.2.9
Publication status	Published - 2012

Access to Document

10.7169/facm/2012.47.2.9

http://projecteuclid.org/euclid.facm/1356012919

Cite this

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title = "Inhomogeneous quadratic congruences",

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

author = "S. Baier and Browning, {T. D.}",

year = "2012",

doi = "10.7169/facm/2012.47.2.9",

language = "English",

volume = "47",

pages = "267--286",

journal = "Functiones Et Approximatio",

number = "2",

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AU - Baier, S.

AU - Browning, T. D.

PY - 2012

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

U2 - 10.7169/facm/2012.47.2.9

DO - 10.7169/facm/2012.47.2.9

M3 - Article

VL - 47

SP - 267

EP - 286

JO - Functiones Et Approximatio

JF - Functiones Et Approximatio

IS - 2

ER -