Old Web
Asymptotics of the Number of Restricted Partitions
2020
Let $$00$$
. For any $$T>0$$
and $$k\in\overline{\mathbb{N}}=\mathbb{N}\cup\{\infty\}$$
, let $$N(k,T)$$
be the number of solutions $$\{n_j\}_{j=1}^k$$
, $$n_j\in \mathbb{N}_0=\mathbb{N}\cup\{0\}$$
, of the inequality $$\sum_{j=1}^{k}n_jt_j\le T$$
. We are interested in the asymptotics of $$\log N(k,T)$$
as $$T\to\infty$$
.
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
17
References
1
Citations
NaN
KQI