3 problems

Negative-bias conjecture. There is a bias towards negative values in the distribution of the values of $D_1(x)$ and $D_2(x)$. The conjecture is based on numerical data for $x$ up t…

For a primitive positive definite binary quadratic form, let $F(N;8,1)$, $F(N;8,5)$, $F(N;12,1)$, and $F(N;12,7)$ denote the functions introduced in the paper for the corresponding…

Let $x$ be a positive real number. A prime is represented as a sum of two squares with the even square larger than the odd one if it can be written as a sum of two squares in which…