Affiliation:
1. Institute of Mathematics, Henan Academy of Sciences, Zhengzhou, Henan 450046, P. R. China
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.
Funder
The Starting Research Foundation for Doctors of Henan Academy of Sciences
National Natural Science Foundation of China
National Natural Science Foundation of China Mathematics Tianyuan Foundation
Publisher
World Scientific Pub Co Pte Ltd