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• W3105677673 abstract "Let Φ(N) denote the number of products of matrices and of trace equal to N, and be the number of such products of trace at most N. We prove an asymptotic formula of type as N → ∞. As a result, the Dirichlet series has a meromorphic extension in the half-plane with a single, order two pole at s = 2. Our estimate also improves on an asymptotic result of Faivre concerning the distribution of reduced quadratic irrationals, providing an explicit upper bound for the error term." @default.
• W3105677673 created "2020-11-23" @default.
• W3105677673 creator A5071408046 @default.
• W3105677673 date "2007-01-27" @default.
• W3105677673 modified "2023-09-25" @default.
• W3105677673 title "Products of matrices and and the distribution of reduced quadratic irrationals" @default.
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• W3105677673 doi "https://doi.org/10.1515/crelle.2007.038" @default.
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