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math.CO2018★ 1 cited
A generalized Hardy-Ramanujan formula for the number of restricted integer partitions
Tiefeng Jiang, Ke Wang
We derive the asymptotic formula for , the number of partitions of integer with part size at most and length at most . We consider both and are compara…
math.CO2010★ 6 cited
Sparse random graphs: Eigenvalues and Eigenvectors
Linh Tran, Van Vu, Ke Wang
In this paper we prove the semi-circular law for the eigenvalues of regular random graph in the case , complementing a previous result of McKay for f…