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Farey arcs and series

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Abstract

We find a finite subdivision of the interval [0, 1] into Farey's arcs in which the large as well as small arcs are explicitly presented. This subdivision is compared with Kloosterman's classical subdivision and the infinite subdivision by the group of modular transformations. Bibliography: 5 titles.

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References

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Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 226, 1996, pp. 52–59.

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Vinogradov, A.I. Farey arcs and series. J Math Sci 89, 945–950 (1998). https://doi.org/10.1007/BF02358530

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  • DOI: https://doi.org/10.1007/BF02358530

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