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RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD

Part of: Arithmetic problems. Diophantine geometry Elementary classical functions Additive number theory; partitions

Published online by Cambridge University Press:  29 November 2017

V. Blomer  and
J. Brüdern
V. Blomer
Affiliation:
Mathematisches Institut, Bunsenstr. 3–5, 37073 Göttingen, Germany email [email protected]
J. Brüdern
Affiliation:
Mathematisches Institut, Bunsenstr. 3–5, 37073 Göttingen, Germany email [email protected]
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Abstract

A strong quantitative form of Manin’s conjecture is established for a certain variety in biprojective space. The singular integral in an application of the circle method involves the third power of the integral sine function and is evaluated in closed form.

MSC classification

Primary: 11P55: Applications of the Hardy-Littlewood method 14G05: Rational points 33B99: None of the above, but in this section
Type
Research Article
Information
Mathematika , Volume 63 , Issue 3 , 2017 , pp. 780 - 796
Copyright
Copyright © University College London 2017 

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References

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