MathOverflow

In a $p\times p$ grid with $p$ prime, trivial polyomino tilings: $1\times p$ rows, $p\times1$ columns, $p\times p$ square.Question: Exist non-trivial connected polyominoes (size $k$ where $p^2 \mod k = 0$, $1 < k < p^2$) that tile the grid exactly...

Last week on arXiv a rather interesting preprint was posted: Zeros of Polynomials in Derivatives of Automorphic $L$-functions by Dong, Wattanawanichkul, and Zaharescu. In short, it establishes a Riemann-von Mangoldt type formula for any Dirichlet series...

I seek a generalization of the idea and answer found inStochastic order of generalized chi-square distributions.Given that $χ^2_a=∑^n_{i=1}a_iZ^2_i$ where $Z_i∼N(0,1)$ are i.i.d. $\forall i$. The answerer found through a majorization argument and Schur...

The function g(N) for counting the prime pairs in an even integer N can be implemented as:
Question: Is there a separate algorithm, that uses an apparently different logic, but still achieves the same count of prime pairs in N?