Is the game Total War : Rome an accurate representation of history ?
Let -LSB- math -RSB- d -LRB- n -RRB- -LSB- / math -RSB- be the number of divisors of a natural number -LSB- math -RSB- n -LSB- / math -RSB- . How do you prove that -LSB- math -RSB- d -LRB- mn -RRB- =d -LRB- m -RRB- d -LRB- n -RRB- -LSB- / math -RSB- if -LSB- math -RSB- gcd -LRB- m , n -RRB- = 1 -LSB- / math -RSB- ?