Counting rational points near planar curves

Acta Arithmetica ◽

10.4064/aa165-1-5 ◽

2014 ◽

Vol 165 (1) ◽

pp. 91-100 ◽

Cited By ~ 1

Author(s):

Ayla Gafni

Keyword(s):

Rational Points ◽

Planar Curves ◽

Counting Rational Points

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Counting rational points on quartic del Pezzo surfaces with a rational conic

Mathematische Annalen ◽

10.1007/s00208-018-1716-6 ◽

2018 ◽

Vol 373 (3-4) ◽

pp. 977-1016

Author(s):

T. D. Browning ◽

E. Sofos

Keyword(s):

Rational Points ◽

Del Pezzo Surfaces ◽

Del Pezzo ◽

Counting Rational Points

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Counting Rational Points of an Algebraic Variety over Finite Fields

Results in Mathematics ◽

10.1007/s00025-019-0962-6 ◽

2019 ◽

Vol 74 (1) ◽

Author(s):

Shuangnian Hu ◽

Xiaoer Qin ◽

Junyong Zhao

Keyword(s):

Finite Fields ◽

Algebraic Variety ◽

Rational Points ◽

Counting Rational Points

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Counting rational points on cubic curves

Science China Mathematics ◽

10.1007/s11425-010-4037-0 ◽

2010 ◽

Vol 53 (9) ◽

pp. 2259-2268 ◽

Cited By ~ 2

Author(s):

Roger Heath-Brown ◽

Damiano Testa

Keyword(s):

Rational Points ◽

Cubic Curves ◽

Counting Rational Points

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Counting rational points on biprojective hypersurfaces of bidegree (1,2)

Journal of Number Theory ◽

10.1016/j.jnt.2020.04.002 ◽

2020 ◽

Vol 214 ◽

pp. 312-325

Author(s):

L.Q. Hu

Keyword(s):

Rational Points ◽

Counting Rational Points

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Explicit bounds for rational points near planar curves and metric Diophantine approximation

Advances in Mathematics ◽

10.1016/j.aim.2010.05.021 ◽

2010 ◽

Vol 225 (6) ◽

pp. 3064-3087 ◽

Cited By ~ 12

Author(s):

Victor Beresnevich ◽

Evgeniy Zorin

Keyword(s):

Diophantine Approximation ◽

Rational Points ◽

Planar Curves ◽

Metric Diophantine Approximation ◽

Explicit Bounds

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Counting rational points on hypersurfaces and higher order expansions

Journal of Number Theory ◽

10.1016/j.jnt.2016.09.001 ◽

2017 ◽

Vol 173 ◽

pp. 332-370 ◽

Cited By ~ 1

Author(s):

Damaris Schindler

Keyword(s):

Rational Points ◽

Higher Order ◽

Counting Rational Points

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Counting Rational Points on Cubic Hypersurfaces

Mathematika ◽

10.1112/s0025579300000243 ◽

2007 ◽

Vol 54 (1-2) ◽

pp. 93-112 ◽

Cited By ~ 1

Author(s):

T. D. Browning

Keyword(s):

Rational Points ◽

Counting Rational Points ◽

Cubic Hypersurfaces

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Counting rational points on smooth cyclic covers

Journal of Number Theory ◽

10.1016/j.jnt.2012.02.010 ◽

2012 ◽

Vol 132 (8) ◽

pp. 1741-1757 ◽

Cited By ~ 2

Author(s):

D.R. Heath-Brown ◽

Lillian B. Pierce

Keyword(s):

Rational Points ◽

Cyclic Covers ◽

Counting Rational Points

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On One Example and One Counterexample in Counting Rational Points on Graph Hypersurfaces

Letters in Mathematical Physics ◽

10.1007/s11005-011-0501-1 ◽

2011 ◽

Vol 97 (3) ◽

pp. 303-315 ◽

Cited By ~ 5

Author(s):

Dzmitry Doryn

Keyword(s):

Rational Points ◽

Graph Hypersurfaces ◽

Counting Rational Points

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Counting rational points on hypersurfaces

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.2005.2005.584.83 ◽

2005 ◽

Vol 2005 (584) ◽

pp. 83-115 ◽

Cited By ~ 11

Author(s):

T. D. Browning ◽

D. R. Heath-Brown

Keyword(s):

Rational Points ◽

Counting Rational Points

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