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 -