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math-ph2023
Multiplane gravitational lenses with an abundance of images
Charles R. Keeton, Erik Lundberg, Sean Perry
We consider gravitational lensing of a background source by a finite system of point-masses. The problem of determining the maximum possible number of lensed images has been comple…
math.CV2023
On the valence of logharmonic polynomials
Dmitry Khavinson, Erik Lundberg, Sean Perry
Investigating a problem posed by W. Hengartner (2000), we study the maximal valence (number of preimages of a prescribed point in the complex plane) of logharmonic polynomials, i.e…