Let (Formula presented.) be any positive and non-square integer. We prove an upper bound for the first two moments of the length (Formula presented.) of the period of the continued fraction expansion for (Formula presented.). This allows to improve the existing results for the large deviations of (Formula presented.).
(2024). The first and second moments for the length of the period of the continued fraction expansion for d [journal article - articolo]. In MATHEMATIKA. Retrieved from https://hdl.handle.net/10446/287669
The first and second moments for the length of the period of the continued fraction expansion for d
Grenie, Loïc André Henri;
2024-01-01
Abstract
Let (Formula presented.) be any positive and non-square integer. We prove an upper bound for the first two moments of the length (Formula presented.) of the period of the continued fraction expansion for (Formula presented.). This allows to improve the existing results for the large deviations of (Formula presented.).File allegato/i alla scheda:
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Mathematika - 2024 - Battistoni - The first and second moments for the length of the period of the continued fraction.pdf
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