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math.NT2024
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…
math.NT2024
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…
quant-ph2024
On the distillablity conjecture in matrix theory
Saiqi Liu, Chen Lin
The distillability conjecture of two-copy 4 by 4 Werner states is one of the main open problems in quantum information. We prove two special cases of the conjecture. The first case…