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- Title
The Manin–Peyre conjecture for certain multiprojective hypersurfaces.
- Authors
Zhao, Xiaodong
- Abstract
By the circle method, an asymptotic formula is established for the number of integer points on certain hypersurfaces within multiprojective space. Using Möbius inversion and the modified hyperbola method, we prove the Manin–Peyre conjecture on the asymptotic behavior of the number of rational points of bounded anticanonical height for certain smooth hypersurfaces in the multiprojective space of sufficiently large dimension.
- Subjects
HYPERSURFACES; RATIONAL points (Geometry); RATIONAL numbers; LOGICAL prediction; HYPERBOLA
- Publication
International Journal of Number Theory, 2024, Vol 20, Issue 5, p1265
- ISSN
1793-0421
- Publication type
Article
- DOI
10.1142/S1793042124500623