4 citations · 22 across the 23 of their papers we have counts for
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Congruent conditions on the number of terms, on the ratio number of terms to first terms and on the difference of first terms for sums of consecutive squared integers equal to squared integers
Vladimir Pletser
Sums of consecutive squared integers equaling squared integers (for , ) yield certain linear groupings of pairs $\left(a_{1},a_{…
Finding all squared integers expressible as the sum of consecutive squared integers using generalized Pell equation solutions with Chebyshev polynomials
Vladimir Pletser
Square roots of sums of consecutive integer squares starting from are integers if or ; or or ; or $M\equ…
Congruence conditions on the number of terms in sums of consecutive squared integers equal to squared integers
Vladimir Pletser
Considering the problem of finding all the integer solutions of the sum of consecutive integer squares starting at being equal to a squared integer , it is shown…
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 , and of sums of consecutive integer squares starting at equal to squared integers , has no s…
Product of Two Consecutive Fibonacci or Lucas Numbers Divisible by their Prime Sum of Indices
Vladimir Pletser
We show that the product of two consecutive Fibonacci (respectively Lucas) numbers is divisible by the sum of their indices if this sum is a prime number different from 5 and in th…
Corrections to "On continued fractions of given period"
Vladimir Pletser
Corrections are brought to an article of Friesen on continued fractions of a given period.