## Found 28 Documents (Results 1–28)

### A uniform estimate for the density of rational points on quadrics. (English. French summary)Zbl 1480.11038

MSC:  11D45 11D09 11E12
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### Average rank in families of quadratic twists: a geometric point of view. (English)Zbl 1441.11147

MSC:  11G05 14G05 11D45
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### Counting rational points on smooth cubic curves. (English)Zbl 1401.11104

MSC:  11G05 14G05
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### Uniform bounds for rational points on cubic hypersurfaces. (English)Zbl 1397.11117

Dieulefait, Luis (ed.) et al., Arithmetic and geometry. Proceedings of the research conference of the trimester, Bonn, Germany, April 15–19, 2013. Cambridge: Cambridge University Press (ISBN 978-1-107-46254-0/pbk; 978-1-316-10687-7/ebook). London Mathematical Society Lecture Note Series 420, 401-421 (2015).
MSC:  11G35 14G05

### On uniform bounds for rational points on rational curves of arbitrary degree. (English)Zbl 1364.11084

MSC:  11D45 11G50
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### Sums and differences of three $$k$$th powers. (English)Zbl 1182.11017

Reviewer: B. Z. Moroz (Bonn)
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### Bounds for Hilbert’s irreducibility theorem. (English)Zbl 1213.12005

MSC:  12E25 14G05 12E05
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### Rational points of bounded height on projective surfaces. (English)Zbl 1136.14012

MSC:  14G05 11G35
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### Counting rational points on algebraic varieties. (English)Zbl 1152.11027

Friedlander, J.B. (ed.) et al., Analytic number theory. Lectures given at the C.I.M.E. summer school held in Cetraro, Italy, July 11-18, 2002. Berlin: Springer (ISBN 3-540-36363-7/pbk). Lecture Notes in Mathematics 1891, 51-95 (2006).
Reviewer: B. Z. Moroz (Bonn)
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### On uniform bounds for rational points on nonrational curves. (English)Zbl 1162.11357

MSC:  11G50 11G30 14G05
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### Plane curves in boxes and equal sums of two powers. (English)Zbl 1174.11380

MSC:  11G35 11D72
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### Counting rational points on hypersurfaces. (English)Zbl 1079.11033

Reviewer: B. Z. Moroz (Bonn)
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### An effective Hilbert irreducibility theorem. (Théorème d’irréductibilité de Hilbert effectif.) (French)Zbl 1071.12002

MSC:  12E25 11C08 11D45
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### A note on a paper by R. Heath-Brown: “The density of rational points on curves and surfaces”. (English)Zbl 1053.11027

Reviewer: B. Z. Moroz (Bonn)
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### On totally reducible binary forms. II. (English)Zbl 1022.11046

MSC:  11N37 11H46 11H56

### Lattice points close to a smooth curve and squarefull numbers in short intervals. (English)Zbl 1018.11036

MSC:  11J54 11N25 11P21
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