This is a matter of some debate. The New York Times article "Does Hot Weather Cause More Bike-Tire Problems?" by J. David Goodman (July 22, 2010) may be of interest.
The claims in support for hot weather causing problems are that the tubes may be running higher pressure than designed, or the rubber softening making it more permeable. I, like many others, don't believe these claims hold water (however, I don't have appropriate test rigs or the will to verify this).
The biggest flaw with hot weather causing problems is that tires, tubes and rims are tested at pressures way past whats on the label (and for almost all riders, they should be using pressures way lower than the label). So, you're likely quite far from the limit of failure. 100 F isn't an unreasonable summer temperature for a large number of people (the Southwest, particularly), and it would be ridiculous to engineer a tire that couldn't reliably last at 110 F air temp riding conditions, since that would give a very small margin of reliability.
However, I wouldn't necessarily call it a coincidence. In summer, your mileage increases versus winter, and you're likely to see more road debris (from drivers, liter, etc.). Compounding the increased mileage with tubes and tires that may not be in great condition could see an increase in flats.