O.C.G.A. § 21-2-543

Whenever a vacancy shall occur or exist in the office of Representative in the United States Congress from this state the Governor shall issue, within ten days after the occurrence of such vacancy, a writ of election to the Secretary of State for a special election to fill such vacancy, which election shall be held on the date named in the writ, which shall not be less than 30 days after its issuance. Upon receiving the writ of election from the Governor, the Secretary of State shall then transmit the writ of election to the superintendent of each county involved and shall publish the call of the election.