How to plot the real part of the zeta function on the critical line in 2D /3D ?

This is a video explaining all Riemann zeta function - YouTube

Drawing a vertical plane at  x =1/2  on the real axis .

Can be helpful too : LMFDB - The L-functions and modular forms database
note: for people who can possible solve the riemann hypothese ?

@acer 

Thanks

Ah, i see 

Its first checking if the typesetprime setting has a value prime: yes or no 
Its not a default setting that prime=true

That you than can come up with this Differential equation  in a default worksheet.

y`= x ; 

@Carl Love 

Should also help to simplify  v more ..or doesn't matter ?

@janhardo 

Takes some time to get it working?

Typesetting:-Settings(typesetprime =true);
                             false

@acer 

Thanks

I got them all three types of the "quotes" on the keyboard 
So, what's the problem you ask? ..i try again

Also  i looked a the calculation of a population modelled with a differential equation
There are some errors in it, perhaps it can be solved ?

It are old worksheets and don't know if the calculation can be modernized.

@acer 

Thanks
Good to know.

Then i use in the worksheet only 2D input as easy reading math and not for computing.

@Carl Love 

Thanks 

The legend option is hardcoded in Maple then.
Why is it necessary to get a box around the legend if you want it to be more sober  the plot ?

It's not a easy thing to do to program this for a average Maple user as you did.
To make it general for more advanced functions as needed could  be helpful ?

@acer 

Thanks

Its was wondering why i get "round d's" for the derative after using the right-click menu to chance it to 2D Input , but it seems that you get  the straight d ( Leibniz notation if i am correct)

I will reproduce it again and look now again.

diff(lhs(%)-rhs(%)=0);

Put the vertical cursor in the expression or at the end after or selected the whole expression, and in all cases i get  :  

Note: the prime notation i does not work too , because it is not on my keyboard ? 
The language for the keyboard is choosable, but the feedback on my computer about this has disappeared? 

@Carl Love 

Interesting, how you have made it ?
I like to see round parenthesis for the the graph intersections and with a dot 
Don't like the black borders around the legenda 

But that's me...

@acer 

Thanks

More closely looked , indeed. 
 Its only the logic   : Plts variable is a sequenze of 4 plots .. something in the plot command places the plots in a list..[  ]   

@Christopher2222 

Thanks 

@Scot Gould 

Thanks

Yes,i am using key F5 frequently

@rlopez Thanks

For me, the 2D math input conversion to maple input has proven to be useful 
Probably  i don't need more? 
One hot key for toggling between 2d input and maple input 

I was doing some math with the Riemann hypothese : How to plot the approximation graph for the primes staircase - MaplePrimes
Note: only finding formula Z(t) is a another search.

Was a timesaver and not knowing how to input the formula Z(t)  in maple input without errors. 

@Scot Gould 

Thanks 
Can be useful.

Thanks

With ALT-R  is giving a performance overlay screen from the graphical card on the desktop of the computer.
There is no focus on the Maple screen to get for these hot keys.

Ideal should be one hotkey for toggling ..well two i accept too.