Neb. Rev. Stat. §§ 32-623
If any person nominated for elective office for the general election notifies the filing officer with whom the candidate filing form or other acceptance of nomination was filed by filing a statement, in writing and duly acknowledged, that he or she declines such nomination on or before August 1 before the election, the person's name shall not be printed on the ballot, but no declination shall be effective after such date. The filing officer shall inform one or more persons whose names are attached to the nomination if the candidate was nominated by a political party convention or committee or, if nominated at a primary election, the chairperson or secretary of the campaign or political party committee of his or her political party if there is one within the jurisdiction of the filing officer and, if not, at least three of the prominent members of the candidate's political party within the jurisdiction of the filing officer that such candidate has declined the nomination by mailing or delivering to them personally notice of such fact. Such declination shall create a vacancy on the ballot which may be filled pursuant to section 32-627. In lieu of filing a declination with the Secretary of State, the person so nominated may file a declination with the election commissioner or county clerk in the county in which he or she resides. Any election commissioner or county clerk receiving such a declination shall within five days after its receipt forward a copy of the written declination statement to the Secretary of State. The Secretary of State shall make notifications required by this section for all individuals for whom he or she receives a copy of the written declination statement.
Neb. Rev. Stat. §§ 32-623