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- W2022383250 abstract "We are going to study the mean values of some multiplicative functions connected with the divisor function in short interval of summation. The asymptotics for such mean values will be proved. Considering instead of well-known multiplicative functions, their inverses lead to very weak results of application of standard methods of complex integration. In order to get better estimations, we propose another method which uses as its main tools the density estimates and zero-free region for Riemann ζ-function and Dirichlet L-functions." @default.
- W2022383250 created "2016-06-24" @default.
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- W2022383250 date "2015-08-01" @default.
- W2022383250 modified "2023-09-26" @default.
- W2022383250 title "On the asymptotic formulae for some multiplicative functions in short intervals" @default.
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- W2022383250 doi "https://doi.org/10.1142/s1793042115400102" @default.
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