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Leighton, Walter Glass, Thomas Franklin 2016-04-22T22:00:11Z 2016-04-22T22:00:11Z 1941 Glass, Thomas Franklin. "On the convergence of continued fractions." (1941) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/90180">https://hdl.handle.net/1911/90180</a>. https://hdl.handle.net/1911/90180 RICE1216 Thesis Math. 1941 Glass In Chapter I of this paper, fundamental definitions in the theory of continued fractions are set forth. In Chapter II we give certain classical convergence theorems for continued fractions of various types. The results of Chapter III are original and sharpen a Mom convergence theorem due to Leighton and Wall. 25 pp reformatted digital eng Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. On the convergence of continued fractions Thesis Text Mathematics Natural Sciences Rice University Masters Master of Arts open.access