most citedNumber of stable digits of any integer tetration

21 citations · 21 across the 6 of their papers we have counts for

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6 papers

math.GM202221 cited

Number of stable digits of any integer tetration

Marco Ripà, Luca Onnis

In the present paper we provide a formula that allows to compute the number of stable digits of any integer tetration base . The number of stable digits, at the g…

math.GM2022

On some nested floor functions and their jump discontinuities

Luca Onnis

This paper investigates some particular limits involving nested floor functions. We'll prove some cases and then we'll show a more general result. Then we'll count the discontinuit…

math.GM2022

On the general Smarandache's sigma product of digits

Luca Onnis

This paper investigates the behaviour of one of the most famous Smarandache's sequence given by A061076 on oeis. In particular we first study the behaviour of two sequences (A06107…

math.GM2022

On a variant of the happy numbers and their generalizations

Luca Onnis

This paper investigates a variant of the famous "happy numbers" sequence, given by A351327 on the oeis. First of all we'll define this integer sequence, and then we'll show some im…

math.NT2021

On the -adic valuation of a hyperfactorial

Luca Onnis

In this document will be proved a formula to compute the -adic valuation of a hyperfactorial. We call a hyperfactorial the result of multiplying a given number of consecutive in…

math.NT2021

On the 2-adic valuation of (a^b-c^d)

Luca Onnis

In this paper will be proved an inequality regarding . Using this formula it will be possible to have informations about the divisibility of 2 of this function wi…