A. A. Karatsuba

2.0k total citations · 1 hit paper
84 papers, 1.1k citations indexed

About

A. A. Karatsuba is a scholar working on Algebra and Number Theory, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, A. A. Karatsuba has authored 84 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 38 papers in Algebra and Number Theory, 19 papers in Mathematical Physics and 15 papers in Applied Mathematics. Recurrent topics in A. A. Karatsuba's work include Analytic Number Theory Research (38 papers), Meromorphic and Entire Functions (9 papers) and Advanced Algebra and Geometry (7 papers). A. A. Karatsuba is often cited by papers focused on Analytic Number Theory Research (38 papers), Meromorphic and Entire Functions (9 papers) and Advanced Algebra and Geometry (7 papers). A. A. Karatsuba collaborates with scholars based in Russia, Mexico and Tajikistan. A. A. Karatsuba's co-authors include Сергей Воронин, Maxim Aleksandrovich Korolev, M. Z. Garaev, V E Voskresenskiĭ, Vasilii S Vladimirov, В. П. Платонов, Sergei M Nikol'skii, Igor R. Shafarevich, E. F. Mishchenko and Mirko Rokyta and has published in prestigious journals such as Russian Mathematical Surveys, Journal of Physics A Mathematical and Theoretical and Journal of Number Theory.

In The Last Decade

A. A. Karatsuba

75 papers receiving 836 citations

Hit Papers

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What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

The Riemann Zeta Function

1992 515 citations A. A. Karatsuba et al. profile →

Peers

Countries citing papers authored by A. A. Karatsuba

Since Specialization

Citations

This map shows the geographic impact of A. A. Karatsuba's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. A. Karatsuba with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. A. Karatsuba more than expected).

Fields of papers citing papers by A. A. Karatsuba

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. A. Karatsuba. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. A. Karatsuba. The network helps show where A. A. Karatsuba may publish in the future.

Co-authorship network of co-authors of A. A. Karatsuba

This figure shows the co-authorship network connecting the top 25 collaborators of A. A. Karatsuba. A scholar is included among the top collaborators of A. A. Karatsuba based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. A. Karatsuba. A. A. Karatsuba is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	A property of the set of prime numbers 2011 ·Russian Mathematical Surveys ·A. A. Karatsuba	9
2	A property of the set of primes as a multiplicative basis of the natural numbers 2011 ·Doklady Mathematics ·A. A. Karatsuba	6
3	Arithmetic problems in the theory of Dirichlet characters 2008 ·Russian Mathematical Surveys ·A. A. Karatsuba	15
4	Nedožité sedmdesátiny Prof. RNDr. Břetislava Nováka, DrSc. (1938-2003) 2008 ·A. A. Karatsuba, (unknown), (unknown), (unknown)	1
5	Prof. RNDr. Břetislav Novák, DrSc. (1938–2003) would be seventy 2008 ·Mathematica Bohemica ·A. A. Karatsuba, (unknown), Mirko Rokyta, (unknown)	1
6	Теорема о приближении тригонометрической суммы более короткой 2007 ·Известия Российской академии наук Серия математическая ·A. A. Karatsuba, (unknown), Maxim Aleksandrovich Korolev	9
7	Behaviour of the argument of the Riemann zeta function on the critical line 2006 ·Russian Mathematical Surveys ·A. A. Karatsuba, Maxim Aleksandrovich Korolev	19
8	On character sums and the exceptional set of a congruence problem 2005 ·Journal of Number Theory ·M. Z. Garaev, A. A. Karatsuba	15
9	Дробные моменты и нули $\zeta(s)$ на критической прямой 2002 ·Математические заметки ·A. A. Karatsuba	6
10	О дробных долях быстрорастущих функций 2001 ·Известия Российской академии наук Серия математическая ·A. A. Karatsuba	1
11	Regular sets in residual classes 1998 ·Mathematical Notes ·A. A. Karatsuba	1
12	An estimate of theL1-norm of an exponential sum 1996 ·Mathematical Notes ·A. A. Karatsuba	5
13	Нули арифметических рядов Дирихле 1994 ·Mathematica Slovaca ·A. A. Karatsuba	4
14	On the zeros of a class of functions generated by the Hurwitz function 1993 ·Russian Mathematical Surveys ·A. A. Karatsuba	1
15	Zeros of certain Dirichlet series 1990 ·Russian Mathematical Surveys ·A. A. Karatsuba	1
16	THE DISTRIBUTION OF ZEROS OF THE FUNCTION ζ(1/2+it) 1985 ·Mathematics of the USSR-Izvestiya ·A. A. Karatsuba	6
17	A problem in the theory of congruences 1982 ·Russian Mathematical Surveys ·(unknown), A. A. Karatsuba	2
18	Uniform estimates of multiple trigonometric sums 1980 ·Doklady Mathematics ·(unknown), A. A. Karatsuba, (unknown)	3
19	A system of congruences 1976 ·Mathematical Notes ·A. A. Karatsuba	3
20	Основы аналитической теории чисел 1975 ·A. A. Karatsuba	1

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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