Abstract
The partition function P(n) satisfy some congruence properties. Eichhorn and Ono prove the existence of an effective constant C(m,r) (where m,r∈ N have some restrictions), such that if p(mn+r)≡0( mod m) for n⩽C(m,r), then the congruence holds for every non-negative integer n. In this paper we improve the value of C(m,r) by removing its dependence in r.
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