Scientific achievements of Anatolii Alekseevich Karatsuba
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Publication:2447009
DOI10.1134/S0081543813030012zbMath1286.01026OpenAlexW1977372663WikidataQ100935394 ScholiaQ100935394MaRDI QIDQ2447009
S. A. Gritsenko, M. E. Changa, I. S. Rezvyakova, Ekatharine A. Karatsuba, Doychin I. Tolev, M. A. Korolev
Publication date: 23 April 2014
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543813030012
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Cites Work
- A property of the set of primes as a multiplicative basis of the natural numbers
- Combinational properties of sets of residues modulo a prime and the Erdős-Graham problem
- Approximation of exponential sums by shorter ones
- An upper bound for the modulus of a multiple trigonometric sum
- Mean-value theorem for the modulus of multiple trigonometric sums
- Sums of characters in sequences of shifted prime numbers, with applications
- Some problems of contemporary analytic number theory
- On the distribution of values of nonprincipal characters
- Uniform approximations and zeros of the derivatives of the Hardy \(Z\)- function in short intervals
- The polynomial \(X^2+Y^4\) captures its primes
- Kloosterman double sums
- Lower bounds for the maximum modulus of \(\zeta(s)\) in small domains of the critical strip.
- Omega theorems for zeta sums
- Trigonometric sums in number theory and analysis. Transl. from the Russian
- On one method for fast approximation of zeta constants by rational fractions
- Gaussian elimination is not optimal
- Fast multiplication of large numbers
- The largest prime factor of X 3 +2
- Application of ATS in a Quantum-optical Model
- A resummation formula for collapse and revival in the Jaynes–Cummings model
- TRIGONOMETRIC INTEGRALS
- Об одной сумме в теории дзета-функции Римана
- SUMS OF LEGENDRE SYMBOLS OF POLYNOMIALS OF SECOND DEGREE OVER PRIME NUMBERS
- A.D. Alexandrov spaces with curvature bounded below
- Fractional parts of functions of a special form
- On the function S ( t )
- Weighted character sums
- On the convergence exponent of the singular integral in the multi-dimensional analogue of Tarry's problem
- Numbers whose prime divisors lie in special intervals
- A theorem on the approximation of a trigonometric sum by a shorter one
- UNIFORM APPROXIMATION OF THE REMAINDER TERM IN THE DIRICHLET DIVISOR PROBLEM
- The multidimensional Dirichlet divisor problem and zero free regions for the Riemann zeta function
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