3 problems

Natural-boundary conjecture. The function

Let $W(x,y)=\sum_{n,m}a_{n,m}x^ny^m$ be an integral polynomial with $W(x,0)=1$, and define … If $\beta=\max\{\frac{n}{m}:m\geq 1,\ a_{n,m}\neq 0\}$, then the du Sautoy–Woodward con…

Let $W(x,y)=\sum_{n,m}a_{n,m}x^ny^m$ be an integral polynomial with $W(x,0)=1$, and define … If $\beta=\max\{n/m:a_{n,m}\neq 0\}$, then the Euler-product continuation conjecture.…