Binary forms as sums of two squares and Châtelet surfaces

DOI10.1007/s11856-012-0019-yzbMath1293.11058arXiv1006.5859OpenAlexW2047698204MaRDI QIDQ375831

Régis de la Bretèche, Timothy D. Browning

Publication date: 1 November 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5859

zbMATH Keywords

rational pointstorsorChâtelet surfacepolynomial congruencessum of two squares

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Rational points (14G05) Counting solutions of Diophantine equations (11D45) Varieties over global fields (11G35) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Cubic and quartic Diophantine equations (11D25) Global ground fields in algebraic geometry (14G25)

Related Items

Counting imaginary quadratic points via universal torsors, Counting integer points on quadrics with arithmetic weights, The split torsor method for Manin’s conjecture, Sur la conjecture de Manin pour certaines surfaces de Châtelet, Le problème de Tchébychev pour le douzième polynôme cyclotomique

Cites Work

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