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RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD

  • V. Blomer (a1) and J. Brüdern (a2)
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.

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References
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1. Blomer, V. and Brüdern, J., Counting in hyperbolic spikes: the diophantine analysis of multihomogeneous diagonal equations. J. reine angew. Math., doi:10.1515/crelle-2015-0037.
2. Brüdern, J., Einführung in die analytische Zahlentheorie, Springer (Berlin, 1995).
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8. Vaughan, R. C., The Hardy–Littlewood Method, 2nd edn. (Cambridge Tracts in Mathematics 125 ), Cambridge University Press (Cambridge, 1997).
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Mathematika
  • ISSN: 0025-5793
  • EISSN: 2041-7942
  • URL: /core/journals/mathematika
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