Analytic integration of the continued fraction expansion of a density of states
β Scribed by G. Allan; M.C. Desjonqueres; D. Spanjaard
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 251 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0038-1098
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π SIMILAR VOLUMES
Some time ago Mills and Robbins (1986, J. Number Theory 23, No. 3, 388-404) conjectured a simple closed form for the continued fraction expansion of the power series solution \(f=a_{1} x^{-1}+a_{2} x^{-2}+\cdots\) to the equation \(f^{4}+f^{2}-x f+1=0\) when the base field is GF(3). In this paper we
## Abstract We construct examples that log HΓΆlder continuity of the integrated density of states cannot be improved. Our examples are limitβperiodic. Β© 2011 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim
We improve a result of D. Knuth about the convergence of approximations of a continued fraction. 1998 Academic Press 0. INTRODUCTION Recently several authors have been interested by the convergence of distribution functions for various quantities related to the continued fraction expansion and more