English

Binary forms as sums of two squares and Ch\^atelet surfaces

Number Theory 2011-01-27 v2

Abstract

The representation of integral binary forms as sums of two squares is discussed and applied to establish the Manin conjecture for certain Ch\^atelet surfaces defined over the rationals.

Keywords

Cite

@article{arxiv.1006.5859,
  title  = {Binary forms as sums of two squares and Ch\^atelet surfaces},
  author = {R. de la Bretèche and T. D. Browning},
  journal= {arXiv preprint arXiv:1006.5859},
  year   = {2011}
}

Comments

33 pages

R2 v1 2026-06-21T15:42:55.995Z