Kilian Rausch

collaborators

3 papers

math.NT2026

The difference of the sums of odd and even parts of restricted partitions

Kilian Rausch, Johann Stumpenhusen

For a subset $D \subset N$ , denote by $S (D, n)$ the total sum of all odd parts minus the sum of all even parts of all partitions of $n$ in which parts from $D$ d…

math.NT2026

A Rademacher exact type formula for pod $_{2} (n)$

Kilian Rausch

In this paper, we calculate an exact formula for the number of partitions of a natural number $n$ , where the largest part is even and no odd parts appears more than two times. The…

math.NT2025

Mock modular forms from the k-rank moments

Kilian Rausch

In this paper, the generating functions of Garvans so-called $k$ -ranks are used, to define a family of mock Eisenstein series. The $k$ -rank moments are then expressed as partition…

The difference of the sums of odd and even parts of restricted partitions

A Rademacher exact type formula for pod2​(n)

Mock modular forms from the k-rank moments

A Rademacher exact type formula for pod $_{2} (n)$