The answer is: True

Jesus could not have been born in the year 0 A.D. as it doesn't actually exist historically - our calendar jumps straight from 1 B.C. to 1 A.D. with no intervening year zero. Also, Dionysius was commissioned to establish the year of Christ's birth and due to insufficient historical data he arrived at a date which was a few years late. The birth of Christ is generally accepted to be around 5 or 6 B.C. as Herod died in 4 B.C.