Scientific achievements of Anatolii Alekseevich Karatsuba

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

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of number theory (11-03)

Related Items (1)

On Anatolii Alekseevich Karatsuba's works written in the 1990s and 2000s

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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