padics

3 ms·

1. 1.▲
   by padics 5y ago

   Just to give this some more context, since I feel Grant sort of rushes at the end a bit when he covers this and goes from powers of two to 1,3,7,15.. Grant shows: 1=1 3=1+2 7=1+2+2**2 .. And so utilises a bit of syntact
2. 2.▲
   by padics 5y ago

   3lue1brown has a great visualization of constructing p-adic numbers and calculating their metric through the lens of 2-adic numbers: https://m.youtube.com/watch?v=XFDM1ip5HdU This article fills in some bits omitted from the
3. 3.▲
   by padics 5y ago

   Unsure what specifically the gp was referring to but there is a known relation between L-functions and the prime number sequence, see Riemann hypothesis. And p-adics are constructed using modulo some prime. With all these prime relations ma
4. 4.▲
   by padics 5y ago

   Fascinating result! Very happy to see older generations acknowledging code and seeing it as a way to collaborate with younger generations. Great work! Quietly linked in the article (uses Sage!): https://github.com/liuyj8526&