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math.NT2026
Counting Rational Points on a Certain Bihomogeneous Threefold
Xiaodong Zhao
Let be the threefold , and let be the complement of its coordinate hyperplane sections. For the anticanonic…
math.NT2026
A density version for the sum of nine cubes of primes
Kaijie Li, Tianze Wang, Xiaodong Zhao
Let be the set of primes. Suppose that , are nine subsets of with relative lower density …
math.NT2023
The Manin-Peyre conjecture for three del Pezzo surfaces
Xiaodong Zhao
The Manin-Peyre conjecture is established for a split singular quintic del Pezzo surface with singularity type and two split singular quartic del Pezzo surfaces with…