C. Cobeli

activity

20242026

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5 papers · 1 filter

math.NT2024

On non-holonomicity, transcendence and $p$ -adic valuations

Cristian Cobeli, Mihai Prunescu, Alexandru Zaharescu

Let $I^½_{q} (n)$ be the p-adic valuation of $n$ . We show that the power series with coefficients $I^½_{q} (n)$ , respectively $I^½_{p} (n) (mod k)$ , are non-holonomic and not algebr…

math.NT2024

Filtered rays over iterated absolute differences on layers of integers

Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu

The dynamical system generated by the iterated calculation of the high order gaps between neighboring terms of a sequence of natural numbers is remarkable and only incidentally cha…

math.NT2024

Super-regular polytopes in cyclotomic hypercubes

Cristian Cobeli, Alexandru Zaharescu

For any odd prime $p$ and any integer $N \geq 0$ , let $V (p, N)$ be the set of vertices of the cyclotomic box $B = B (p, N)$ of edge size $2 N$ and centered…

math.NT2024

On the trajectories of a particle in a translation invariant involutive field

Cristian Cobeli, Alexandru Zaharescu

We introduce a double-folded operator that, upon iterative application, generates a dynamical system with two types of trajectories: a cyclic one and, another that grows endlessly…

math.NT2024

A lozenge triangulation of the plane with integers

Raghavendra N. Bhat, Cristian Cobeli, Alexandru Zaharescu

We introduce and study a three-folded linear operator depending on three parameters that has associated a triangular number tilling of the plane. As a result the set of all triples…

On non-holonomicity, transcendence and p-adic valuations

Filtered rays over iterated absolute differences on layers of integers

Super-regular polytopes in cyclotomic hypercubes

On the trajectories of a particle in a translation invariant involutive field

A lozenge triangulation of the plane with integers

On non-holonomicity, transcendence and $p$ -adic valuations