The Mauryan Empire had its birth in Magadha, the kingdom in the Gangetic Plain, far away from the Indus Valley. The capital Pataliputra was near Patna in the present state of Bihar in the eastern India. Hence the name India has no connection with the Mauryan Empire.
The name India came from the name 'Sindhu', the River Indus. In Persian language the letter H is used in place of S. From 'Sindhu' came 'Hindu' and 'India'. Indians have used several names for India, like Bharatvarsh, Aryavart, Jambudweep, Hindustan etc. Bharat is the most common and also the official name of India.