3 problems

For a positive integer $n$, define … where $H(f)$ is the largest absolute value of a coefficient of $f$. Let $p<q<r$ be distinct odd primes. Congruence invariance conjecture. If ……

Let $p<q$ be odd primes, and define … where $H(f)$ is the largest absolute value of a coefficient of $f$. Ryan–Pomerance height conjecture. For every positive integer $b$, … and fo…

Let $p$ be a fixed odd prime and let $b$ be a fixed positive integer. For a positive integer $n$, define … where $H(f)$ is the largest absolute value of a coefficient of $f$. Ryan–…