For , we have and you have to show that for an integer .
I got the following function:
The function has a periodicity of .
Let be the binary expansion of a number between 0 and 1.
Letīs consider .
If we look at
why do we have by the periodicity of for i > n
I guess that the period is subtracted exactly i times, but I can not show it.
Can anyone help please? Thanks.