Cubic polynomials and quadratic forms

Iwaniec, Henryk ; Munshi, Ritabrata (2010) Cubic polynomials and quadratic forms Journal of the London Mathematical Society, 81 (1). pp. 45-64. ISSN 0024-6107

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Official URL: http://onlinelibrary.wiley.com/doi/10.1112/jlms/jd...

Related URL: http://dx.doi.org/10.1112/jlms/jdp056

Abstract

We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide evidence toward well-accepted conjectures concerning the density of rational points on such surfaces. Using rather delicate sieve arguments we give a good lower bound for the number of rational points in boxes with respect to a natural height function.

Item Type:Article
Source:Copyright of this article belongs to John Wiley & Sons, Inc.
ID Code:110843
Deposited On:31 Jan 2018 09:08
Last Modified:31 Jan 2018 09:08

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