Counting rational points on diagonal quadratic surfaces
Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.
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Abstract
For any ε > 0 and any diagonal quadratic form Q ∈ Z[x1, x2, x3, x4] with a square‐free discriminant of modulus ΔQ ≠ 0, we establish the uniform estimate ≪ε B3/2+ε + B2+ε/Δ1/6Q for the number of rational points of height at most B lying in the projective surface Q = 0.
Publishing Year
Date Published
2003-03-01
Journal Title
Quarterly Journal of Mathematics
Publisher
Oxford Academic
Volume
54
Issue
1
Page
11 - 31
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eISSN
IST-REx-ID
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Browning TD. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 2003;54(1):11-31. doi:doi/10.1093/qjmath/54.1.11
Browning, T. D. (2003). Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. Oxford Academic. https://doi.org/doi/10.1093/qjmath/54.1.11
Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics. Oxford Academic, 2003. https://doi.org/doi/10.1093/qjmath/54.1.11.
T. D. Browning, “Counting rational points on diagonal quadratic surfaces,” Quarterly Journal of Mathematics, vol. 54, no. 1. Oxford Academic, pp. 11–31, 2003.
Browning TD. 2003. Counting rational points on diagonal quadratic surfaces. Quarterly Journal of Mathematics. 54(1), 11–31.
Browning, Timothy D. “Counting Rational Points on Diagonal Quadratic Surfaces.” Quarterly Journal of Mathematics, vol. 54, no. 1, Oxford Academic, 2003, pp. 11–31, doi:doi/10.1093/qjmath/54.1.11.
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