50 citations · 50 across the 7 of their papers we have counts for
5 papers · 1 filter
Galois representations and modularity for twisted moments of Kloosterman sums
Zi Li Lim, Fang-Ting Tu, Jeng-Daw Yu
Associated with the classical Kloosterman sums, we consider the quadratic twisted symmetric power moments. We investigate the cohomological properties and construct the motives ove…
Generalised Fermat equations in dense variables over finite fields and rings
Sam Chow, Zi Li Lim, Akshat Mudgal
Let be a sufficiently dense subset of a finite field or a finite, cyclic ring . Assuming that and have no small prime divisors, we…
On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem
Zi Li Lim
We prove a sharp density theorem for quadratic Waring's problem over cyclic groups, when the number of variables is at least . Also, we obtain some new improvements on the densi…
Uniform nonlinear Szemerédi theorem for corners in finite fields
Zi Li Lim
Let be rational functions such that and the constant function are linearly independent over , we prove an asymptotic formul…
Three term rational function progressions in finite fields
Guo-Dong Hong, Zi Li Lim
Let be rational functions such that and the constant function are linearly independent over , we prove an asymptotic formul…