On the number of solutions of a transcendental equation arising in the theory of gravitational lensing
classification
🧮 math.CV
astro-ph.COmath-phmath.MP
keywords
equationnumbersolutionslensingactuallyarisingbrightdensity
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The equation in the title describes the number of bright images of a point source under lensing by an elliptic object with isothermal density. We prove that this equation has at most 6 solutions. Any number of solutions from 1 to 6 can actually occur.
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