To the best that we could find, there's no real correlation between a hot and dry summer and the following winter. Although in the recent past, two dry summers (2000 and 1987) were followed by generally dry winters -- although those winters did feature some months that were wetter than normal. 1987 seems to be a special case in that it was really dry from June all the way through October, and then again in early spring.
But on the other hand, the late summer of 1998 was pretty dry, and that led to one of the wettest winters on record. Other dry summers have led to normal winters. So it's not a slam dunk.