Zhi-Wei Sun

activity

20082013

most citedOn sums of primes and triangular numbers

17 citations · 36 across the 8 of their papers we have counts for

collaborators

Showing 2010Show all

2 papers · 1 filter

math.NT2010★ 5 cited

Congruences involving generalized central trinomial coefficients

Zhi-Wei Sun

For integers $b$ and $c$ the generalized central trinomial coefficient $T_{n} (b, c)$ denotes the coefficient of $x^{n}$ in the expansion of $(x^{2} + b x + c)^{n}$ . Those $T_n=T_n(1,1)\ (n=0,1,2…

math.NT2010★ 2 cited

On divisibility concerning binomial coefficients

Zhi-Wei Sun

Let k and n be positive integers. We mainly show that $(l n + 1) ∣ k (k n k n + l n),$ $2 (n k n) ∣ (n 2 n) C_{2 n}^{(k - 1)}$ , $(n k n) ∣ (2 k - 1) C_{n} (2 n 2 k n),$ …