All Questions

In 2003, Mark Watkins (Class numbers of imaginary quadratic fields) determined all imaginary quadratic fields having class number at most 100. Has this list been improved? That is, what is the largest ...

I am curious about the following after having looked at the paper "Almost primes in almost all short intervals", theorem 3 says: Almost all intervals $[x, x + \log^{3.51}{(x)}]$ with $x ≤ X$...

Let $f(x,y)=x^2+ny^2$ be the binary quadratic form of interest and consider the lattice points $S=\{ (x,y,f(x,y)) \in \mathbb{N}^3 \}$. For simplicity, we keep things only on quadrant I of the ...