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RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD

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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… Click to show full 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.

Keywords: cone via; via hyperbola; inner product; points inner; rational points; product cone

Journal Title: Mathematika
Year Published: 2017

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