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On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s
M. A. Korolev Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
Abstract:
An overview is given of the scientific results obtained by Anatolii Alekseevich Karatsuba between the early 1990s and 2008.
Keywords:
prime number theorem, Riemann zeta function, divisor problem, exponential sums, Karatsuba's phenomenon, modular hyperbolas, Dirichlet characters, fractional moments, Kloosterman sums.
UDC:
511 Received: March 24, 2017
DOI:
10.1134/S037196851704001X
© , 2025
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