When a property roll is filed with the county legislative authority, the county legislative authority shall hold a public hearing to determine whether the facts and conditions heretofore recited in this chapter as a prerequisite to its application do or do not exist, and shall give notice of hearing as follows:

The notice shall be published at least once a week for three consecutive weeks in a newspaper having general circulation in the area involved. The last publication shall be more than fifteen days prior to date of hearing.