11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.NT2011
A determinant formula for the partition function p(7k + a)
Jerome Malenfant
We derive expressions for the partition function p(n), with n in the form 7k+a, as (k+1)-dimensional determinants.
math.NT2011
Factorization of and Determinant Expressions for the Hypersums of Powers of Integers
Jerome Malenfant
We derive a compact determinant formula for calculating and factorizing the hypersum polynomials S^{(L)}_k(N) \equiv \sum_{n_1=1}^N ...\sum_{n_{L+1}=1}^{n_{L}}(n_{L+1})^k expressed…
math.NT2011★ 11 cited
Finite, closed-form expressions for the partition function and for Euler, Bernoulli, and Stirling numbers
Jerome Malenfant
We find general solutions to the generating-function equation sum c_q^{(X)} z^q = F(z)^X, where X is a complex number and F(z) is a convergent power series with |F(0)| >0. We then…