TY - JOUR
T1 - A Hardy-Ramanujan formula for restricted partitions
AU - Almkvist, Gert
AU - Andrews, George E.
PY - 1991/6
Y1 - 1991/6
N2 - In this paper, we extend the Hardy-Ramanujan-Rademacher formula for p(n), the number of partitions of n. In particular we provide such formulas for p(j, n), the number of partitions of j into at most n parts and for A(j, n, r), the number of partitions of j into at most n parts each ≤r.
AB - In this paper, we extend the Hardy-Ramanujan-Rademacher formula for p(n), the number of partitions of n. In particular we provide such formulas for p(j, n), the number of partitions of j into at most n parts and for A(j, n, r), the number of partitions of j into at most n parts each ≤r.
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U2 - 10.1016/0022-314X(91)90079-Q
DO - 10.1016/0022-314X(91)90079-Q
M3 - Article
AN - SCOPUS:44949277024
SN - 0022-314X
VL - 38
SP - 135
EP - 144
JO - Journal of Number Theory
JF - Journal of Number Theory
IS - 2
ER -