Continued Fractions A Modern and Classical Journey into the World of Siegel's Continued Fractions /
This monograph originates from a study of the continued fraction [1, 2, 3, ...], which we call the Zopf number. Its origins date back to 1929 when Siegel introduced it as a ratio of Bessel functions. Continued fractions is most often styled classically, and much of the content is formulated through...
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| Autors principals: | , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edició: | 1st ed. 2025. |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-99546-0 |
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Taula de continguts:
- I. A classical introduction to continued fractions and quadratic convergents
- II. The Zopf constant [1,2,3,...] and its relatives
- III. Matrices and transducers: The computational theory of continued fractions
- IV. The theory of conversions from irregular to regular Hurwitz continued fractions
- V. On a refinement of the irrationality measure
- VI. Appendix.