D. Burde

activity

20242026

most citedEstimates on binomial sums of partition functions

18 citations · 25 across the 3 of their papers we have counts for

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math.RA2026

Fixed-point-free automorphisms of solvable Lie algebras

Dietrich Burde, Karel Dekimpe

In this paper, we investigate the existence of fixed-point-free automorphisms for finite-dimensional Lie algebras. By a result of Jacobson, a Lie algebra admitting a fixed-point-fr…

math.NT2026★ 18 cited

Estimates on binomial sums of partition functions

Dietrich Burde

Let $p (n)$ denote the partition function and define $p (n, k) = \sum_{j = 0}^{k} (k - j n - j) p (j)$ where $p (0) = 1$ . We prove that $p (n, k)$ is unimodal and satisfies $p(n,k) < \frac{2.8…

math.RA2026★ 7 cited

Affine cohomology classes for filiform Lie algebras

Dietrich Burde

We classify the cohomology spaces $H^{2} (g, K)$ for all filiform nilpotent Lie algebras of dimension $n \leq 11$ over $K$ and for certain classes of algebras of dimension $n\…