N.H. Rev. Stat. Ann. § 41:2-e

Whenever the selectmen of a town shall receive a petition under the provisions of RSA 41:2-d, they shall post notice of a public hearing to be held in said town, and printed in a newspaper of general circulation within said town, for a discussion of the proposed change in town assessing authority. Said hearing shall be held at least 15 days prior to town meeting.