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math.NT2022
Euler's and the Taxi Cab relations and other numbers that can be written twice as sums of two cubed integers
Vladimir Pletser
We show that Euler's relation and the Taxi-Cab relation are both solutions of the same equation. General solutions of sums of two consecutive cubes equaling the sum of two other cu…
astro-ph.EP2022
Annular structures in perturbed low mass disc-shaped gaseous nebulae I : general and standard models
Vladimir Pletser
Abstract This is the first of two papers where we study analytical solutions of a bidimensional low mass gaseous disc slowly rotating around a central mass and submitted to small r…
astro-ph.EP2022
Annular structures in perturbed low mass disc-shaped gaseous nebulae II : general and polytropic models
Vladimir Pletser
This is the second of two papers where we study additional analytical solutions of a bidimensional low mass gaseous disc rotating around a central mass and submitted to small radia…