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RATIONAL POINTS ON THE INNER PRODUCT CONE VIA THE HYPERBOLA METHOD
Author(s) -
Blomer V.,
Brüdern J.
Publication year - 2017
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579317000183
Subject(s) - mathematics , hyperbola , conjecture , sine , cone (formal languages) , mathematical analysis , product (mathematics) , variety (cybernetics) , space (punctuation) , pure mathematics , geometry , statistics , algorithm , philosophy , linguistics
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.