24 citations · 34 across the 15 of their papers we have counts for
4 papers · 1 filter
Prime divisors of sequences of integers
Xianzu Lin
In this paper, we develop Furstenberg's proof of infinity of primes, and prove several results about prime divisors of sequences of integers, including the celebrated Schur's theor…
Quadratic Lagrange spectrum: I
Xianzu Lin
In this paper we prove the existence of Hall's ray for the quadratic Lagrange spectrums of all real quadratic numbers. For a large class of real quadratic numbers, we compute the H…
Continued fraction expansions of algebraic numbers
Xianzu Lin
In this paper we establish properties of independence for the continued fraction expansions of two algebraic numbers. Roughly speaking, if the continued fraction expansions of two…
-ary expansions of algebraic numbers
Xianzu Lin
In this paper we give a generalization of the main results in \cite{ab,ab1} about -ary expansions of algebraic numbers. As a byproduct we get a large class of new transcendence…