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.
Papers
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Congruences for the second-order Catalan numbers
Lilu Zhao,Hao Pan,Zhi-Wei Sun +2 more
TL;DR: In this paper, it was shown that Σ 2k - k (3 k k ) ≡ 0 (modp) k=1 and p-1 Σ2 2 k -1 C(2) k ≡ (-1) (p-1)/2 -1 (mod p), k= 1 where C (2) is the kth Catalan number of order 2.
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Cubic and quartic congruences modulo a prime
TL;DR: In this paper, using the third-order recurring sequences, the authors determine the values of Np(x3+a1x2+a2x+a3) and Np (x4+ax2+bx+c), and construct the solutions of the corresponding congruences, where a1,a2,a3,a,b,c are integers.
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A new series for $\pi^3$ and related congruences
TL;DR: The congruence of the Amdeberhan-Zeilberger identity for the second-order harmonic number was established in this article, where the second order harmonic number is defined in terms of Euler numbers.
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Congruences involving generalized central trinomial coefficients
TL;DR: In this paper, the generalized central trinomial coefficient (T_n(b,c) ) was investigated for the Delannoy number in combinatorics, and congruences were established for generalizations of T_n.
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On odd covering systems with distinct moduli
Song Guo,Zhi-Wei Sun +1 more
TL;DR: In this article, it was shown that if such a covering system {a"s(modn"s)}"s"="1^k" with moduli n"1,...,n"k odd, distinct and greater than one exists, then the least common multiple has at least 22 prime divisors.