The Riemann Hypothesis (Part 2)

[mathgenius]

https://golem.ph.utexas.edu/category/2019/09/the_riemann_hypothesis_part_2.html

[mathgenius]

You can head over to cocalc.com, fire up a sage worksheet, and stick this in:

    for n in range(1, 13):
        field = GF(2^n)
        count = 0
        for x in field:
          for y in field:
            if y^2+y == x^3+x:
                count += 1
        print n, 2^n, count
    

if you want to play around with some of these numbers.

[graedus]

Discussion of Part 1:

https://news.ycombinator.com/item?id=20912380

[djmips]

I love reading John Baez, he makes me feel like I can almost understand this stuff.

[mitchus]

If you're interested in a lengthier intro to the Riemann Hypothesis, I highly recommend the book "The Millenium Problems" by Keith Devlin.

[black6 → mitchus]

Prime Obsession by John Derbyshire is another in-depth look. Part biography, part history, part math.

[SPBesui → black6]

Excellent read. I also liked his history of algebra: Unknown Quantity (https://www.amazon.com/Quantity-Real-Imaginary-History-Algeb...).

[mayankkaizen → black6]

This is one of the best math books I've ever read. Author's writing style is very engaging and even funny. Highly recommended.