Vladimir Pletser

activity

20122023

most citedFinding all squared integers expressible as the sum of consecutive squared integers using generalized Pell equation solutions with Chebyshev polynomials

3 citations · 9 across the 11 of their papers we have counts for

collaborators

Showing math.HOShow all

3 papers · 1 filter

math.HO2016

Contradictions and narrowness of views in "The fables of Ishango, or the irresistible temptation of mathematical fiction", answers and updates (in English and in French)

Vladimir Pletser, Dirk Huylebrouck

We answer to criticisms of O. Keller about our interpretation work on the Ishango rod, the oldest mathematical tool of humankind. Our hypothesis, that is widely accepted, is that t…

math.HO2014★ 2 cited

Additional congruence conditions on the number of terms in sums of consecutive squared integers equal to squared integers

Vladimir Pletser

The problem of finding all the integer solutions in $a$ , $M$ and $s$ of sums of $M$ consecutive integer squares starting at $a^{2} \geq 1$ equal to squared integers $s^{2}$ , has no s…

math.HO2012★ 2 cited

Does the Ishango Bone Indicate Knowledge of the Base 12? An Interpretation of a Prehistoric Discovery, the First Mathematical Tool of Humankind

Vladimir Pletser

In the early fifties, the Belgian Prof. J. de Heinzelin discovered a bone in the region of a fishermen village called Ishango, at one of the farthest sources of the Nile, on the bo…