@article{Corneli2010JNTp10001012, title = {{Arithmetic equivalence for function fields, the {G}oss zeta function and a generalisation}}, author = {Cornelissen, Gunther and Kontogeorgis, Aristides and van der Zalm, Lotte}, file = {CornelJNT.pdf}, volume = {130}, pages = {1000{--}1012}, url = {http://dx.doi.org/10.1016/j.jnt.2009.08.002}, doi = {10.1016/j.jnt.2009.08.002}, year = {2010}, journal = {J. Number Theory}, abstract = {We consider three examples of families of curves over a non- archimedean valued field which admit a non-trivial group action. These equivariant deformation spaces can be described by algebraic parameters (in the equation of the curve), or by rigid-analytic parameters (in the Schottky group of the curve). We study the relation between these parameters as rigid-analytic self-maps of the disk}, issn = {0022-314X}, number = {4} }