Z
Zhi-Wei Sun
Researcher at Nanjing University
Publications - 401
Citations - 5651
Zhi-Wei Sun is an academic researcher from Nanjing University. The author has contributed to research in topics: Prime (order theory) & Binomial coefficient. The author has an hindex of 35, co-authored 384 publications receiving 5113 citations. Previous affiliations of Zhi-Wei Sun include University of Trento.
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Two $q$-analogues of Euler's formula $\zeta(2)=\pi^2/6$
TL;DR: In this article, the authors present an analogue of Euler's identity for the complex number q = 2m = 3,4,\ldots, where q is any complex number with $|q|<1.
Evaluations of some Toeplitz-type determinants
Han Wang,Zhi-Wei Sun +1 more
TL;DR: In this paper , the Toeplitz-type determinants were evaluated for complex numbers and the following basic identities were established: (1) Theorem 1.1 Theorem 2.
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On covers of abelian groups by cosets
Günter Lettl,Zhi-Wei Sun +1 more
TL;DR: In this article, Gao and Geroldinger extended Mycielski's conjecture to characters of abelian groups and showed that if the elements of a group can be covered at least m times with the coset a_tG_t irredundant, then [G:Gt]\le 2k-m and furthermore k\ge m+f([G: G_t]), where f(\prod_{i=1}^r p_i^{alpha_i})=\sum ǫ(p_i-1)
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A number-theoretic approach to homotopy exponents of SU(n)
Donald M. Davis,Zhi-Wei Sun +1 more
TL;DR: In this paper, the authors used combinatorial number theory to prove that any homotopy group contains an element of order (i.e., the largest integer such that it can be divided by any prime.
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Determination of the two-color Rado number for $a_1x_1+...+a_mx_m=x_0$
Song Guo,Zhi-Wei Sun +1 more
TL;DR: In this paper, the least positive integer (R(a_1,...,a_m)$ such that for every 2-coloring of the set $[1,n]={1,...,n} with n\ge R(a,a,m), a_1,a,a,m), there exists a monochromatic solution to the equation $a 1x_1+...+a_mx_m=x_0$ with $x 0,...,x_m\in[ 1,n]$.