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We study the rigid analytic geometry of cyclic coverings of the projectiveline. We determine the defining equation of a cyclic covering of degree $p$ ofthe projective line by a Mumford curve over a complete discrete valuation fieldof positive characteristic $p$. Previously, Bradley studied that of any degreeover a non-archimedean local field of characteristic zero.

Cyclic coverings of the projective line by Mumford curves in positive characteristic