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Integral Apollonian circle packings and prime curvatures
classification
🧮 math.NT
keywords
circleapolloniancurvaturesintegralmethodprimeapplyingbasically
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It is shown that any primitive integral Apollonian circle packing captures a fraction of the prime numbers. Basically the method consists in applying the circle method, considering the curvatures produced by a well-chosen family of binary quadratic forms.
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