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
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
International audienceIn this note, we establish an asymptotic formula with a power-saving error ter...
Ritabrata Munshi We aim to count the number of rational points on cubic Châtelet surfaces. Our resu...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
\ua9 2015, Springer International Publishing AG. We count rational points of bounded height on the C...
© 2015, Springer International Publishing AG. We count rational points of bounded height on the Cayl...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
AbstractWe show that the number of nontrivial rational points of height at most B, which lie on the ...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
AbstractLet S be a smooth cubic surface over a field K. It is well-known that new K-rational points ...
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
International audienceIn this note, we establish an asymptotic formula with a power-saving error ter...
Ritabrata Munshi We aim to count the number of rational points on cubic Châtelet surfaces. Our resu...
In this paper we are concerned with the problem of counting rational points of bounded height on rat...
\ua9 2015, Springer International Publishing AG. We count rational points of bounded height on the C...
© 2015, Springer International Publishing AG. We count rational points of bounded height on the Cayl...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
Abstract. We count rational points of bounded height on the Cayley ruled cubic surface and interpret...
We prove upper bounds for the number of rational points on non-singular cubic curves defined over th...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
AbstractWe show that the number of nontrivial rational points of height at most B, which lie on the ...
We give an upper bound for the number of rational points of height at most B, lying on a surface def...
AbstractLet S be a smooth cubic surface over a field K. It is well-known that new K-rational points ...
We prove that any smooth cubic surface defined over any number field satisfies the lower bound predi...
Abstract. For any number field k, upper bounds are established for the number of k-rational points o...
International audienceIn this note, we establish an asymptotic formula with a power-saving error ter...
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