Article ID Journal Published Year Pages File Type
6415431 Journal of Number Theory 2015 8 Pages PDF
Abstract

For any integer n>1, we prove that2n(2nn)|∑k=0n−1(6k+1)(2kk)328(n−k−1) and2n(2nn)|∑k=0n−1(120k2+34k+3)(2kk)4(4k2k)216(n−k−1). The first divisibility result confirms a conjecture of Z.-W. Sun.

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Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
On the divisibility properties of certain binomial sums
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