排序方式: 共有1条查询结果,搜索用时 0 毫秒
1
1.
We prove two monotonicity properties of N(m,n), the number of partitions of n with rank m. They are (i) for any nonnegative integers m and n, and, (ii) for any nonnegative integers m and n such that n?12, n≠m+2, G.E. Andrews, B. Kim, and the first author introduced ospt(n), a function counting the difference between the first positive rank and crank moments. They proved that ospt(n)>0. In another article, K. Bringmann and K. Mahlburg gave an asymptotic estimate for ospt(n). The two monotonicity properties for N(m,n) lead to stronger inequalities for ospt(n) that imply the asymptotic estimate. 相似文献
N(m,n)?N(m+2,n),
N(m,n)?N(m,n−1).
1