The Hardy--Littlewood conjecture and rational points

Yonatan Harpaz, Alexei N. Skorobogatov, Olivier Wittenberg

Schinzel's Hypothesis (H) was used by Colliot-Thélène and Sansuc, and later by Serre, Swinnerton-Dyer and others, to prove that the Brauer-Manin obstruction controls the Hasse prin…