24 citations · 34 across the 15 of their papers we have counts for
15 papers
-adic L-functions and Classical Congruences
Xianzu Lin
In this paper, using -adic analysis and -adic L-functions, we show how to extend classical congruences (due to Wilson, Gauss, Dirichlet, Jacobi, Wolstenholme, Glaisher, Morle…
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…
Vertex Algebras and and Constant Term Identities
Drazen Adamovic, Xianzu Lin, Antun Milas
We consider -type orbifolds of the triplet vertex algebras extending the well-known orbifolds of lattice vertex algebras. We study the structure of Zhu's…
Topology of unitary groups and the prime orders of binomial coefficients
Haibao Duan, Xianzu Lin
Let be the quotient map of the special unitary group by its center subgroup . We determine the induced homo…
A new proof of the action on the triplet vertex algebra
Xianzu Lin
Let be the triplet vertex algebra of central charge , . As a Virasoro module, we have $$\mathcal {W}(p)=\bigoplus_{n=0} ^{\i…
Characterizations of the exceptional vertex operator algebras of central charge : II
Xianzu Lin
It is the second paper in a series devoted to the investigation of characterizations of the exceptional vertex operator algebras of central charge 1. In this paper, we give a chara…
Characterizations of the exceptional vertex operator algebras of central charge : I
Xianzu Lin
In this paper, we give a characterization of the rational vertex operator algebra VTL, where L is the root lattice of type A1 and T is the tetrahedral group.
ADE subalgebras of the triplet vertex algebra W(p): D_m-series
Drazen Adamovic, Xianzu Lin, Antun Milas
We are continuing our study of ADE-orbifold subalgebras of the triplet vertex algebra W(p). This part deals with the dihedral series. First, subject to a certain constant term iden…
ADE subalgebras of the triplet vertex algebra W(p): A-series
Drazen Adamovic, Xianzu Lin, Antun Milas
Motivated by \cite{am1}, for every finite subgroup we investigate the fixed point subalgebra $\triplet^Γ$ of the triplet vertex , of c…
Fusion rules of Virasoro Vertex Operator Algebras
Lin Xianzu
In this paper we prove the fusion rules of for all . Roughly speaking, we consider as the limitation of , where $n\rightarrow…
Infinite dimensional manifolds from a new point of view
Lin Xianzu
In this paper we propose a new treatment about infinite dimensional manifolds, using the language of category and functor. Our definition of infinite dimensional manifolds is a nat…
Infinite loop spaces associated to affine Kac-Moody groups
Lin Xianzu
It is well known that to each infinite class of classical groups over a commutative ring , we can associate an infinite loop space by Quillen's plus construction. In this paper…