TL;DR
This paper characterizes meromorphic functions with doubly periodic phase as elliptic functions multiplied by specific meromorphic functions related to their periods.
Contribution
It provides a precise description of meromorphic functions with doubly periodic phase in terms of elliptic functions and period-dependent meromorphic functions.
Findings
Meromorphic functions with doubly periodic phase are elliptic functions times period-dependent meromorphic functions.
The structure of such functions is explicitly characterized.
The result links phase periodicity to elliptic function theory.
Abstract
Every meromorphic function on with doubly periodic phase is equal to an elliptic function multiplied by a meromorphic function determined by the periods.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMeromorphic and Entire Functions · Analytic Number Theory Research · Mathematical Dynamics and Fractals