6 papers · 1 filter
Matrix Kloosterman sums and product-trace estimates for semisimple algebras
Xuejun Guo, Chen Lin, Chenhao Tang
Let , and . For , and , let be the number of $r…
On the Fractional Parts of Polynomials Modulo
Xuejun Guo, Chen Lin, Zhefeng Xu
We study a half-interval distribution problem for polynomial residues modulo an odd prime : how often the fractional part of lies in the upper half of the unit interva…
The -rationality of and
Chen Lin, Xuejun Guo
In this paper, we construct new families of imaginary and real quadratic fields that are -rational. In the imaginary case, we prove that for any positive integer and any int…
Counting Polynomial-type Exceptional Units on Algebraic Varieties over Number Fields
Chen Lin, Kaihan Tang
Previous research on exceptional units has primarily focused on the ring of rational integers or abstract finite rings, often restricted to linear or quadratic constraints. In this…
The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias
Chen Lin, Chenhao Tang, Xuejun Guo
We study the asymptotic estimation of prime ideals that satisfy certain congruence and argument conditions in imaginary quadratic fields. We also discuss the phenomenon of Chebyshe…
Galois orbits of torsion points over polytopes near atoral sets
Chenying Lin
Given an essentially atoral Laurent polynomial , we show an equidistribution theorem for the function on specific subsets of Galois orbits of torsion poi…