Eteri Samsonadze

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20212025

most citedOn sums of powers of natural numbers

1 citations · 1 across the 5 of their papers we have counts for

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math.GM2024★ 1 cited

On sums of powers of natural numbers

Eteri Samsonadze

The problem of finding the sum of a polynomial's values is considered. In particular, for any $n \geq 3$ , the explicit formula for the sum of the $n$ th powers of natural numbers $S_…

math.NT2024

Sufficient conditions for solvability of linear Diophantine equations, and Frobenius numbers

Eteri Samsonadze

The sufficient conditions for solvability of a linear Diophantine equation $\sum_{i = 1}^{n} a_{i} x_{i} = b$ (with $a_{1}, a_{2}, ..., a_{n} \in N$ ) in non-negative integers $x_1,x_2,...,x_n…