Number Theory
Logarithms and primes
Popular Science
I came across this video by NumberPhile and 3Blue1Brown about the density of primes that are 1 mod 4 vs the density of primes that are 3 mod 4. The main fact is quite cool but there was something that he said during in the middle of t . . . Read more
The L-functions and modular forms database (LMFDB)
Popular Science
LMFDB Github The LMFDB is a database of mathematical objects arising in number theory and arithmetic geometry that illustrates some of the mathematical connections predicted by the Langlands prog . . . Read more
Every Prime $\equiv 1 \mod 4$ Is a Sum of Two Squares
Popular Science
I came across this “one sentence” proof that every prime congruent to 1 mod 4 can be written as a sum of two squares: https://doi.org/10.2307/2323918 The proof involves constructing the following cryptic involution $$ (x, y, . . . Read more