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arXiv:1608.05677 [math.CA]AbstractReferencesReviewsResources

Invariant Meromorphic Functions on the Wallpaper Groups

Richard Chapling

Published 2016-08-19Version 1

We construct the meromorphic functions invariant under the action of the sense-preserving wallpaper groups on the complex plane. We discuss possible generalisa-tions of this to the general wallpaper groups. This provides the answer to a question posed on StackExchange regarding the possible symmetries of elliptic functions.

Comments: 13 pages
Categories: math.CA, math.CV, math.GR
Subjects: 33E05, 30D99, 58D19, 20F65
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