Hachemi, Aïcha A local limit theorem for Euclidean algorithms. (Un théorème de la limite locale pour des algorithmes euclidiens.) (French) Zbl 1067.37024 Acta Arith. 117, No. 3, 265-276 (2005). Summary: We prove a local limit theorem for all three Euclidean algorithms: standard, centred and odd, with an arbitrary cost function of moderate growth. Cited in 1 Document MSC: 37C30 Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. 11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension Keywords:transfer operators; limit theorems; Euclidean algorithms; continued fractions PDFBibTeX XMLCite \textit{A. Hachemi}, Acta Arith. 117, No. 3, 265--276 (2005; Zbl 1067.37024) Full Text: DOI arXiv