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math.NT2023
Sum-product phenomenon in quotients of rings of algebraic integers
Jincheng Tang, Xin Zhang
We obtain a bounded generation theorem over , where is the ring of integers of a number field and a general ideal of …
math.NT2022
On Length Sets of Subarithmetic Hyperbolic Manifolds
Alex Kontorovich, Xin Zhang
We formulate the Asymptotic Length-Saturation Conjecture on the length sets of closed geodesics on hyperbolic manifolds whose fundamental groups are subarithmetic, that is, contain…