D. Fosse

collaborators

3 papers

math.NT2023

An explicit decomposition formula of a matrix in $G L_{2} (Z)$

Dominique Fosse

Given $A := (1011)$ , $B := (1101)$ and $C:=\left(\begin{smallmatrix}1&0\\0&-1\end{…

math.HO2023

Solutions in $Z [i]$ of $A^{5} + B^{5} = C^{5} \pm 1$

Dominique Fosse

We build solutions in $Z [i]$ of $A^{5} + B^{5} = C^{5} \pm 1$ based on a method developed by Michael D. Hirschhorn in his article "An Amazing Identity of Ramanujan", from Mathe…

math.HO2021

An easy way to find solutions of the Diophantine equation $A^{3} + B^{3} = C^{3} + D^{3}$

Dom Fosse

To give a parametrization of the Diophantine equation $A^{3} + B^{3} = C^{3} + D^{3}$ in terms of integral binary quadratic forms in a constructive way.

An explicit decomposition formula of a matrix in GL2​(Z)

Solutions in Z[i] of A5+B5=C5±1

An easy way to find solutions of the Diophantine equation A3+B3=C3+D3

An explicit decomposition formula of a matrix in $G L_{2} (Z)$

Solutions in $Z [i]$ of $A^{5} + B^{5} = C^{5} \pm 1$

An easy way to find solutions of the Diophantine equation $A^{3} + B^{3} = C^{3} + D^{3}$