you'll need either at least two colors, or some skill with grayscale sketching [and possibly multiple pencil guages]
riemann zeta is a complex function, so any point on the 2d plane of your sketch, needs to get multiple dimensions of information drawn... this is in total four dimensions, and can't be captured accurately without encoding an additional dimension somehow. one typical method that is quite intuitive once you're familiar with it is hue [red/green/blue] to represent complex phase [e.g. red is positive, cyan is negative, green and blue are the imaginary cube roots of 1], and then brightness or saturation to represent magnitude.
geek out a bit on youtube about complex functions [e.g. gamma is another common one] and you'll see tons of examples. they can be drawn manually, it might even boost your intuition much more effectively than passively watching videos... it's just a lot of delicate work and computers do it better.
you'll need either at least two colors, or some skill with grayscale sketching [and possibly multiple pencil guages]
riemann zeta is a complex function, so any point on the 2d plane of your sketch, needs to get multiple dimensions of information drawn... this is in total four dimensions, and can't be captured accurately without encoding an additional dimension somehow. one typical method that is quite intuitive once you're familiar with it is hue [red/green/blue] to represent complex phase [e.g. red is positive, cyan is negative, green and blue are the imaginary cube roots of 1], and then brightness or saturation to represent magnitude.
geek out a bit on youtube about complex functions [e.g. gamma is another common one] and you'll see tons of examples. they can be drawn manually, it might even boost your intuition much more effectively than passively watching videos... it's just a lot of delicate work and computers do it better.