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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Restricted sums of four squares
TL;DR: The authors refine Lagrange's four-square theorem in new ways by imposing some restrictions involving powers of two (including 1) and show that each n = 1, 2, 3, 4, 5, 6 can be written as x2 + y2 + + z2 + x2+ y2+ z2.
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Congruences for sums involving Franel numbers
TL;DR: In this paper, the Franel numbers given by fn = ∑k=0p−1( 2k k ) fk mk (modp) for m = 5,−16, 16, 32,−49, 50, 96.
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On the Herzog–Schönheim conjecture for uniform covers of groups
TL;DR: In this paper, it was shown that if A covers all the elements of G the same number of times and G1,Gk are subnormal subgroups of G not all equal to G, then M=max1⩽j⩻k|{1�i⩾k:ni=nj}| is not less than the smallest prime divisor of n1⋯nk; moreover, min1⌽i ⌽klogni=O(Mlog2M) where the O-constant
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An additive theorem and restricted sumsets
TL;DR: In this article, it was shown that for any additive abelian group with cyclic torsion subgroups, there is a numbering {a_i}{i=1}^n of the elements of A, a numbering [b_i]{i = 1} of B, and a numbering{c_i{i} = 1] of C, such that all the sums a_i+b_I+c_I (i= 1,...,n) are distinct.
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