论文标题
二项碰撞的必要条件
Necessary conditions for binomial collisions
论文作者
论文摘要
我们将为方程式$ \ binom {x} {a} = \ binom {y} {b} $保留:如果$ \ binom {2n+δ} {n-m} {n-m} = \ binom {2n+binom {2n+binom {2n+l} {2n+l} {n-k} {n-q $Δ= 0 $δ= 0 $ 0, $ k <n $和$ n $足够大,然后$ l>(cn/\ log n)^{40/21} $对于某些常数$ c $。
We shall give some necessary conditions for the equation $\binom{x}{a}=\binom{y}{b}$ to hold: if $\binom{2n+δ}{n-m}=\binom{2n+l}{n-k}$ with $δ=0$ or $1$, $0<m\leq 0.735k$, $k<n$ and $n$ sufficiently large, then $l>(cn/\log n)^{40/21}$ for some constant $c$.