Luca Onnis
Published 2021-08-30Version 1
In this paper will be proved an inequality regarding $v_2(a^{b}-c^{d})$. Using this formula it will be possible to have informations about the divisibility of 2 of this function without computing it. Then, will be studied the behavior of this function when it approaches infinity and there will be a lot of analogies with 2-adic integers. This result may be easily used on a calculator, to facilitate the analysis of the divisibility by 2 of this function for large values. Furthermore 2-adic valuation and in general 2-adic analysis is related to binary system, and every work related to it could have a lot of applications in informatics.
Comments: 15 pages, 9 figures
Expansion, divisibility and parity
A note on the large values of $|ζ^{(\ell)}(1+{\rm i}t)|$
On Large Values of $|ζ(σ+{\rm i}t)|$
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