Proof of Sun's conjecture on the divisibility of certain binomial sums
Abstract
In this paper, we prove the following result conjectured by Z.-W. Sun: (2n-1)3n n| Σk=0n6k 3k3k k6(n-k) 3(n-k)3(n-k) n-k. by showing that the left-hand side divides each summand on the right-hand side.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.