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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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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     title = {Quadratic congruences on average and
 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

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