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

align trajectories

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

A. A. Karatsuba

ANT

MP

AM

GT

DMC

Alexandru Zaharescu United States

Jiang Zeng France

Karl Dilcher Canada

Max Koecher Germany

A. L. Onishchik Russia

L. N. Vaserstein United States

Hans Rademacher United States

Bernard Dwork United States

M. Ram Murty Canada

Masanobu Kaneko Japan

Alexandru Zaharescu United States

A. A. Karatsuba

939 ×1.1

ANT

578 ×1.3

MP

290 ×0.9

AM

508 ×1.6

GT

258 ×1.1

DMC

Citations per year, relative to A. A. Karatsuba A. A. Karatsuba (= 1×) peers Alexandru Zaharescu

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

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

1.

Karatsuba, A. A.. (2011). A property of the set of prime numbers. Russian Mathematical Surveys. 66(2). 209–220. 9 indexed citations

2.

Karatsuba, A. A.. (2011). A property of the set of primes as a multiplicative basis of the natural numbers. Doklady Mathematics. 84(1). 467–470. 6 indexed citations

3.

Karatsuba, A. A.. (2008). Arithmetic problems in the theory of Dirichlet characters. Russian Mathematical Surveys. 63(4). 641–690. 15 indexed citations

4.

Karatsuba, A. A., et al.. (2008). Nedožité sedmdesátiny Prof. RNDr. Břetislava Nováka, DrSc. (1938-2003). 53(1). 53–58. 1 indexed citations

5.

Karatsuba, A. A., et al.. (2008). Prof. RNDr. Břetislav Novák, DrSc. (1938–2003) would be seventy. Mathematica Bohemica. 133(2). 209–218. 1 indexed citations

6.

Karatsuba, A. A., et al.. (2007). Теорема о приближении тригонометрической суммы более короткой. Известия Российской академии наук Серия математическая. 71(2). 123–150. 9 indexed citations

7.

Karatsuba, A. A. & Maxim Aleksandrovich Korolev. (2006). Behaviour of the argument of the Riemann zeta function on the critical line. Russian Mathematical Surveys. 61(3). 389–482. 19 indexed citations

8.

Garaev, M. Z. & A. A. Karatsuba. (2005). On character sums and the exceptional set of a congruence problem. Journal of Number Theory. 114(1). 182–192. 15 indexed citations

9.

Karatsuba, A. A.. (2002). Дробные моменты и нули $\zeta(s)$ на критической прямой. Математические заметки. 72(4). 502–508. 6 indexed citations

10.

Karatsuba, A. A.. (2001). О дробных долях быстрорастущих функций. Известия Российской академии наук Серия математическая. 65(4). 89–110. 1 indexed citations

11.

Karatsuba, A. A.. (1998). Regular sets in residual classes. Mathematical Notes. 64(2). 190–193. 1 indexed citations

12.

Karatsuba, A. A.. (1996). An estimate of theL1-norm of an exponential sum. Mathematical Notes. 64(3). 401–404. 5 indexed citations

13.

Karatsuba, A. A.. (1994). Нули арифметических рядов Дирихле. Mathematica Slovaca. 44(5). 633–649. 4 indexed citations

14.

Karatsuba, A. A.. (1993). On the zeros of a class of functions generated by the Hurwitz function. Russian Mathematical Surveys. 48(5). 175–176. 1 indexed citations

15.

Karatsuba, A. A.. (1990). Zeros of certain Dirichlet series. Russian Mathematical Surveys. 45(1). 207–208. 1 indexed citations

16.

Karatsuba, A. A.. (1985). THE DISTRIBUTION OF ZEROS OF THE FUNCTION ζ(1/2+it). Mathematics of the USSR-Izvestiya. 25(3). 519–529. 6 indexed citations

17.

Karatsuba, A. A., et al.. (1982). A problem in the theory of congruences. Russian Mathematical Surveys. 37(5). 157–158. 2 indexed citations

18.

Karatsuba, A. A., et al.. (1980). Uniform estimates of multiple trigonometric sums. Doklady Mathematics. 21. 904–906. 3 indexed citations

19.

Karatsuba, A. A.. (1976). A system of congruences. Mathematical Notes. 19(3). 237–239. 3 indexed citations

20.

Karatsuba, A. A.. (1975). Основы аналитической теории чисел. 1 indexed citations

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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