M. Prunescu

activity

20072024

most citedA growth model based on the arithmetic

Z

-game

8 citations · 13 across the 7 of their papers we have counts for

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math.NT2024

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

Cristian Cobeli, Mihai Prunescu, Alexandru Zaharescu

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

math.NT2015★ 8 cited

A growth model based on the arithmetic $Z$ -game

Cristian Cobeli, Mihai Prunescu, Alexandru Zaharescu

We present an evolutionary self-governing model based on the numerical atomic rule $Z (a, b) = ab / g cd (a, b)^{2}$ , for $a, b$ positive integers. Starting with a sequence of numbers, the in…

math.NT2007

Self-similar carpets over finite fields

Mihai Prunescu

Some linear dynamical systems over finite fields are studied and the self-similar character of their development is proved. Connections with aperiodic tilings, Delanoy numbers and…

On non-holonomicity, transcendence and p-adic valuations

A growth model based on the arithmetic Z-game

Self-similar carpets over finite fields

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

A growth model based on the arithmetic $Z$ -game