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- W2963941349 abstract "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 polynomials and rational functions, respectively. Upper and lower bounds were previously obtained by Khavinson–Świa̧tek, Khavinson–Neumann, and Petters. Between these bounds, we show that any number of simple zeros allowed by the Argument Principle occurs and nothing else occurs, off of a proper real algebraic set. If describes an n-point gravitational lens, we determine the possible numbers of generic images." @default.
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- W2963941349 date "2013-01-12" @default.
- W2963941349 modified "2023-09-26" @default.
- W2963941349 title "Counting Zeros of Harmonic Rational Functions and its Application to Gravitational Lensing" @default.
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- W2963941349 doi "https://doi.org/10.1093/imrn/rns284" @default.
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