Convergence and divergence of the Ramanujan AGM fraction |
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| Authors: | Lisa Lorentzen |
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| Institution: | (1) Department of Mathematical Sciences, Norwegian University of Science and Technology, 7491 Trondheim, Norway |
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| Abstract: | We prove that the Ramanujan AGM fraction diverges if |a|=|b| with a
2≠b
2. Thereby we prove two conjectures posed by J. Borwein and R. Crandall. We also demonstrate a method for accelerating the
convergence of this continued fraction when it converges.
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| Keywords: | Convergence Continued fractions Ramanujan AGM-fraction |
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