Where an election has been called, as provided in Section 37-59-11, notice of such election shall be signed by the president of the school board and shall be published once a week for at least three (3) consecutive weeks, in at least one (1) newspaper published in such school district. The first publication of such notice shall be made not less than twenty-one (21) days prior to the date fixed for such election, and the last publication shall be made not more than seven (7) days prior to such date. If no newspaper is published in such school district, then such notice shall be given by publishing the same for the required time in some newspaper having a general circulation in such school district.