Geodesic
Quadratic congruences on average and rational points on cubic surfaces
Stephan Baier1 ; Ulrich Derenthal2
1 Tata Institute of Fundamental Research 1 Dr. Homi Bhabha Road Colaba, Mumbai 400005, India
2 Institut f\"ur Algebra, Zahlentheorie und Diskrete Mathematik Leibniz Universit\"at Hannover Welfengarten 1 30167 Hannover, Germany
Acta Arithmetica, Tome 171 (2015) no. 2, pp. 145-171.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is ${\mathbf A}_5+{\mathbf A}_1$.
DOI : 10.4064/aa171-2-3
Keywords: investigate average number solutions certain quadratic congruences application establish manins conjecture cubic surface whose singularity type mathbf mathbf

Stephan Baier 1 ; Ulrich Derenthal 2

1 Tata Institute of Fundamental Research 1 Dr. Homi Bhabha Road Colaba, Mumbai 400005, India
2 Institut f\"ur Algebra, Zahlentheorie und Diskrete Mathematik Leibniz Universit\"at Hannover Welfengarten 1 30167 Hannover, Germany 
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 rational points on cubic surfaces},
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 rational points on cubic surfaces
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 rational points on cubic surfaces
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Stephan Baier; Ulrich Derenthal. Quadratic congruences on average and
 rational points on cubic surfaces. Acta Arithmetica, Tome 171 (2015) no. 2, pp. 145-171. doi : 10.4064/aa171-2-3. http://geodesic.mathdoc.fr/articles/10.4064/aa171-2-3/

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