

Conference to the Memory of Anatoly Alekseevitch Karatsuba on Number theory and Applications
January 28, 2016 15:30, Dorodnitsyn Computing Centre, Department of Mechanics and
Mathematics of Lomonosov Moscow State University., 119991, GSP1, Moscow, Leninskie Gory, 1, Main Building, Department of Mechanics and Mathematics, 16 floor, Lecture hall 1610






A strengthening of Porter's result
D. A. Frolenkov^{ab} ^{a} Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
^{b} Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

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Abstract:
Using new uniform asymptotic formula for the additive divisor problem, we obtain an improvement of the error term in the asymptotic formula for the mean value of the length of continued fractions with fixed denominator.
Language: Russian and English

