6 citations · 9 across the 7 of their papers we have counts for
7 papers
Prime Hasse principles via Diophantine second moments
Victor Y. Wang
We show that almost all primes are sums of three cubes, assuming a conjecture due to Hooley, Manin, et al. on cubic fourfolds. This conjecture is appro…
Partial sums of typical multiplicative functions over short moving intervals
Mayank Pandey, Victor Y. Wang, Max Wenqiang Xu
We prove that the -th positive integer moment of partial sums of Steinhaus random multiplicative functions over the interval matches the corresponding Gaussian moment…
Dichotomous point counts over finite fields
Victor Y. Wang
We establish a near dichotomy between randomness and structure for the point counts of arbitrary projective cubic threefolds over finite fields. Certain "special" subvarieties, not…
Sums of cubes and the Ratios Conjectures
Victor Y. Wang
Works of Hooley and Heath-Brown imply a near-optimal bound on the number of integral solutions to in expanding regions, conditional on automorphy and GR…
Special cubic zeros and the dual variety
Victor Y. Wang
Let be a diagonal cubic form over in variables. From the dual variety in the delta method of Duke--Friedlander--Iwaniec and Heath-Brown, we unconditionally ext…
Diagonal cubic forms and the large sieve
Victor Y. Wang
Let be the number of integral zeros of . Works of Hooley and Heath-Brown imply , if one assumes aut…