C. D. da Fonseca

activity

20102024

most citedBasic trigonometric power sums with applications

24 citations · 24 across the 6 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.RT2016

Topological classification of systems of bilinear and sesquilinear forms

Carlos M. da Fonseca, Vyacheslav Futorny, Tetiana Rybalkina +1

Let $A$ and $B$ be two systems consisting of the same vector spaces $C^{n_{1}}, \dots, C^{n_{t}}$ and bilinear or sesquilinear forms $A_i,B_i:\mathbb C^{n_{k(i)…

math.CO2016

The $μ$ -permanent, a new graph labeling, and a known integer sequence

Milica Anđelić, Carlos M. da Fonseca, António Pereira

Let $A = (a_{ij})$ be an $n$ -by- $n$ matrix. For any real number $μ$ , we define the polynomial $P_{μ} (A) = σ \in S_{n} \sum a_{1 σ (1)} \dots a_{nσ (n)} μ^{ℓ (σ)},$ as the $μ$ -permane…

math.NT2016★ 24 cited

Basic trigonometric power sums with applications

Carlos M. da Fonseca, M. Lawrence Glasser, Victor Kowalenko

We present the transformation of several sums of positive integer powers of the sine and cosine into non-trigonometric combinatorial forms. The results are applied to the derivatio…

Topological classification of systems of bilinear and sesquilinear forms

The μ-permanent, a new graph labeling, and a known integer sequence

Basic trigonometric power sums with applications

The $μ$ -permanent, a new graph labeling, and a known integer sequence