Difference between revisions of "Kuznetsova theorem"

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[[Kuznetsova theorem]] refers to residual of division of [[tetration]] to integer base by any integer number.
 
 
==[[Kuznetsova theorem]]==
 
==[[Kuznetsova theorem]]==
   

Revision as of 20:17, 23 January 2020

Kuznetsova theorem refers to residual of division of tetration to integer base by any integer number.

Kuznetsova theorem

Let \( b>1 \) and \( q>1 \) be integers.

Then, there exist positive integer \( Q \) and integer \(r\) such that for any integer \( n > Q \) the equation holds:

\( \mathrm{tet}_b(n)\%q = r \)

References

Keywords

Integer number, Tartaria, Tartaria.Math, Tetration, Yulya Kuznetsova