On slopes of L-functions of Zp-covers over the projective line
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DOI: 10.1016/j.jnt.2017.11.009
Abstract: Abstract Let P : ⋯ → C 2 → C 1 → P 1 be a Z p -cover of the projective line over a finite field of cardinality q and characteristic p which ramifies… read more here.
Keywords: projective line; line; slopes functions; reciprocal roots ... See more keywords
Rational functions of degree four that permute the projective line over a finite field
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DOI: 10.1080/00927872.2021.1906887
Abstract: Abstract Recently, rational functions of degree three that permute the projective line over a finite field were determined by Ferraguti and Micheli. In the present paper, using a different method, we determine all rational functions… read more here.
Keywords: projective line; line finite; rational functions; functions degree ... See more keywords
Cyclic coverings of the projective line by Mumford curves in positive characteristic
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DOI: 10.2996/kmj/1530496835
Abstract: We study the rigid analytic geometry of cyclic coverings of the projective line. We determine the defining equation of a cyclic covering of degree $p$ of the projective line by a Mumford curve over a… read more here.
Keywords: projective line; coverings projective; line mumford; cyclic coverings ... See more keywords