3 citations · 6 across the 9 of their papers we have counts for
9 papers
Random Multiplicative Functions and Making Squares from Polynomial Values
Régis de la Bretèche, Victor Y. Wang, Max Wenqiang Xu
For a large family of polynomials , we prove central limit theorems for for both Rademacher and extended Rademacher multiplicative fu…
Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs
Victor Wang
We prove a simple formula expanding the unicellular LLT polynomials of a class of graphs we call two-headed melting lollipops into ribbon Schur functions. Our work extends the Schu…
On an alternating sum of factorials and Stirling numbers of the first kind: trees, lattices, and games
Victor Wang
We study an alternating sum involving factorials and Stirling numbers of the first kind. We give an exponential generating function for these numbers and show they are nonnegative…
Average sizes of mixed character sums
Victor Y. Wang, Max Wenqiang Xu
We prove that the average size of a mixed character sum (for a suitable smooth function ) is on the order of for all irratio…
A nonabelian circle method
Nuno Arala, Jayce R. Getz, Jiaqi Hou +3
We count integral quaternion zeros of , giving an asymptotic when , and a likely near-optimal bound when . To do so, we introduce a new, non…
Harper's beyond square-root conjecture
Victor Y. Wang, Max Wenqiang Xu
We explain how the (shifted) Ratios Conjecture for would extend a randomization argument of Harper from a conductor-limited range to an unlimited range of ``beyond square-…
Notes on zeta ratio stabilization
Victor Y. Wang
This semi-expository note clarifies the extent to which recent ideas in homological stability can resolve the Ratios Conjecture over . For large fixed , a unifo…
Asymptotic growth of translation-dilation orbits
Victor Y. Wang
By studying some Clausen-like multiple Dirichlet series, we complete the proof of Manin's conjecture for sufficiently split smooth equivariant compactifications of the translation-…
Paucity phenomena for polynomial products
Victor Y. Wang, Max Wenqiang Xu
Let be a polynomial with at least two distinct complex roots. We prove that the number of solutions to the…