Oleh Vynnyshyn

most citedSets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet

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

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2 papers

math.CA2026

A series with a Cantorval set of subsums and ratio of consecutive terms tending to $1/2$ (the second Jones problem)

Mykola Pratsiovytyi, Yaroslav Vynnyshyn, Oleh Vynnyshyn

The second Jones problem (2011) consists in determining whether there exists a convergent positive series for which the ratio of consecutive terms has a limit and the set of subsum…

math.NT2026★ 1 cited

Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet

Mykola Pratsiovytyi, Oleh Vynnyshyn

In this work, we study a numeral system with a natural base $s \geq 2$ and a redundant alphabet $A_{r} = {0, 1, \dots, r}$ , where $s \leq r \leq 2 s - 2$ . We investigate the topological,…

A series with a Cantorval set of subsums and ratio of consecutive terms tending to 1/2 (the second Jones problem)

Sets of distinct representations of numbers in numeral systems with a natural base and a redundant alphabet

A series with a Cantorval set of subsums and ratio of consecutive terms tending to $1/2$ (the second Jones problem)