Möbius cancellation on polynomial sequences and the quadratic Bateman–Horn conjecture over function fields

The tamely ramified geometric quantitative minimal ramification problem

“…Using the (very) special cases of Schinzel's Hypothesis H and the Chowla conjecture established in [SS22], it is perhaps possible to make partial progress on Conjecture 1.9 for certain groups. It is not, however, clear to us how to make additional (or significant) progress on Conjecture 1.9, going beyond what is known about Conjecture 1.4.…”