Victor Y. Wang

collaborators

3 papers

math.NT2024

Diagonal cubic forms and the large sieve

Victor Y. Wang

Let $N (X)$ be the number of integral zeros $(x_{1}, \dots, x_{6}) \in [- X, X]^{6}$ of $\sum_{1 \leq i \leq 6} x_{i}^{3}$ . Works of Hooley and Heath-Brown imply $N (X) ≪_{I^} µ X^{3 + I^µ}$ , if one assumes a…

math.NT2024

Prime Hasse principles via Diophantine second moments

Victor Y. Wang

We show that almost all primes $p \neq \equiv \pm 4 mod 9$ are sums of three cubes, assuming a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture is appro…

math.NT2024

Special cubic zeros and the dual variety

Victor Y. Wang

Let $F$ be a diagonal cubic form over $Z$ in $6$ variables. From the dual variety in the delta method of Duke--Friedlander--Iwaniec and Heath-Brown, we unconditionally ext…