An upper bound sieve for rational points on suitable varieties isdeveloped, together with applications tocounting rational points in thin sets,to local solubility in families, and to the notion of “friable” rational pointswith respect to divisors. In the special case of quadrics, sharper estimates areobtained by developing a version of the Selberg sieve for rational points
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
AbstractA conjecture of Serre concerns the number of rational points of bounded height on a finite c...
An upper bound sieve for rational points on suitable varieties isdeveloped, together with applicatio...
53 pagesThe distribution of rational points of bounded height on algebraic varieties is far from uni...
We give a new and efficient method of sieving for rational points on hyperelliptic curves. This met...
We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five...
We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The celebrated Hilbert\u27s 10th problem asks for an algorithm to decide whether a system of po...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
AbstractA conjecture of Serre concerns the number of rational points of bounded height on a finite c...
An upper bound sieve for rational points on suitable varieties isdeveloped, together with applicatio...
53 pagesThe distribution of rational points of bounded height on algebraic varieties is far from uni...
We give a new and efficient method of sieving for rational points on hyperelliptic curves. This met...
We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five...
We develop a version of Ekedahl’s geometric sieve for integral quadratic forms of rank at least five...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The celebrated Hilbert\u27s 10th problem asks for an algorithm to decide whether a system of po...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
The distribution of rational points of bounded height on algebraic varieties is far from uniform. In...
We aim to count the number of rational points on cubic Châtelet surfaces. Our results provide eviden...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
AbstractA conjecture of Serre concerns the number of rational points of bounded height on a finite c...
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