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Counting Zeros of Harmonic Rational Functions and its Application to Gravitational Lensing

Counting Zeros of Harmonic Rational Functions and its Application to Gravitational Lensing

General Relativity gives that finitely many point masses between an observer and a light source create many images of the light source. Positions of these images are solutions of ⁠, where r(z) is a rational function. We study the number of solutions to and ⁠, where p(z) and r(z) are …