# The density of rational points on cubic surfaces

Acta Arithmetica (1997)

- Volume: 79, Issue: 1, page 17-30
- ISSN: 0065-1036

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topD. R. Heath-Brown. "The density of rational points on cubic surfaces." Acta Arithmetica 79.1 (1997): 17-30. <http://eudml.org/doc/206960>.

@article{D1997,

author = {D. R. Heath-Brown},

journal = {Acta Arithmetica},

keywords = {density of rational points; cubic surfaces; sum of two cubes; coplanar lines; number of zeros; ternary quadratic form},

language = {eng},

number = {1},

pages = {17-30},

title = {The density of rational points on cubic surfaces},

url = {http://eudml.org/doc/206960},

volume = {79},

year = {1997},

}

TY - JOUR

AU - D. R. Heath-Brown

TI - The density of rational points on cubic surfaces

JO - Acta Arithmetica

PY - 1997

VL - 79

IS - 1

SP - 17

EP - 30

LA - eng

KW - density of rational points; cubic surfaces; sum of two cubes; coplanar lines; number of zeros; ternary quadratic form

UR - http://eudml.org/doc/206960

ER -

## References

top- [1] J. W. S. Cassels, Bounds for the least solutions of homogeneous quadratic equations, Proc. Cambridge Philos. Soc. 51 (1955), 262-264. Zbl0064.28302
- [2] J. Franke, Yu. I. Manin and Yu. Tschinkel, Rational points of bounded height on Fano varieties, Invent. Math. 95 (1989), 421-435. Zbl0674.14012
- [3] C. Hooley, On the numbers that are representable as the sum of two cubes, J. Reine Angew. Math. 314 (1980), 146-173.
- [4] T. D. Wooley, Sums of two cubes, Internat. Math. Res. Notices 1995 (4), 181-185. Zbl0821.11049

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