В. И. Берник

623 total citations
29 papers, 280 citations indexed

About

В. И. Берник is a scholar working on Mathematical Physics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, В. И. Берник has authored 29 papers receiving a total of 280 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Mathematical Physics, 13 papers in Geometry and Topology and 6 papers in Algebra and Number Theory. Recurrent topics in В. И. Берник's work include Mathematical Dynamics and Fractals (12 papers), advanced mathematical theories (7 papers) and Analytic Number Theory Research (4 papers). В. И. Берник is often cited by papers focused on Mathematical Dynamics and Fractals (12 papers), advanced mathematical theories (7 papers) and Analytic Number Theory Research (4 papers). В. И. Берник collaborates with scholars based in Belarus, Ireland and United Kingdom. В. И. Берник's co-authors include M. M. Dodson, G. A. Margulis, Dmitry Kleinbock, Victor Beresnevich, Friedrich Götze, Detta Dickinson and Hugh O’Donnell and has published in prestigious journals such as Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, International Mathematics Research Notices and Journal of Number Theory.

In The Last Decade

В. И. Берник

20 papers receiving 244 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
В. И. Берник Belarus	7	227	129	96	47	39	29	280
Detta Dickinson Ireland	8	225 1.0×	115 0.9×	88 0.9×	47 1.0×	56 1.4×	21	254
Keith M. Rogers Spain	13	258 1.1×	36 0.3×	253 2.6×	72 1.5×	20 0.5×	44	391
J. G. Timourian Canada	11	104 0.5×	131 1.0×	101 1.1×	79 1.7×	47 1.2×	26	258
Nikolaï Nikolski France	11	204 0.9×	44 0.3×	309 3.2×	82 1.7×	47 1.2×	21	393
Ludwig Reich Austria	9	87 0.4×	106 0.8×	153 1.6×	38 0.8×	83 2.1×	64	255
Danuta Przeworska‐Rolewicz Poland	8	106 0.5×	71 0.6×	148 1.5×	82 1.7×	55 1.4×	57	277
Tavan T. Trent United States	12	188 0.8×	96 0.7×	346 3.6×	75 1.6×	111 2.8×	49	446
P. T. Church United States	12	180 0.8×	229 1.8×	170 1.8×	111 2.4×	47 1.2×	44	396
Juan Carlos Peral Spain	8	142 0.6×	59 0.5×	140 1.5×	38 0.8×	53 1.4×	26	253
Sean A Broughton United States	6	157 0.7×	250 1.9×	32 0.3×	38 0.8×	31 0.8×	25	296

Countries citing papers authored by В. И. Берник

Since Specialization

Citations

This map shows the geographic impact of В. И. Берник'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 В. И. Берник with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites В. И. Берник more than expected).

Fields of papers citing papers by В. И. Берник

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by В. И. Берник. 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 В. И. Берник. The network helps show where В. И. Берник may publish in the future.

Co-authorship network of co-authors of В. И. Берник

This figure shows the co-authorship network connecting the top 25 collaborators of В. И. Берник. A scholar is included among the top collaborators of В. И. Берник 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 В. И. Берник. В. И. Берник 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

Берник, В. И., et al.. (2023). Metric theory of diophantine approximation and asymptotic estimates for the number of polynomials with given discriminants divisible by a large power of a prime number. Doklady of the National Academy of Sciences of Belarus. 67(4). 271–278.

Берник, В. И., et al.. (2021). Diophantine approximation with the constant right-hand side of inequalities on short intervals. Doklady of the National Academy of Sciences of Belarus. 65(4). 397–403. 1 indexed citations

Dickinson, Detta, et al.. (2020). Lower bounds for the number of vectors with algebraic coordinates near smooth surfaces. Doklady of the National Academy of Sciences of Belarus. 64(1). 7–12. 1 indexed citations

Берник, В. И., et al.. (2019). New estimates for the number of integer polynomials with given discriminants. Lithuanian Mathematical Journal. 60(1). 1–8.

Берник, В. И., et al.. (2018). Discriminants of polynomials in the Archimedean and non-Archimedean metrics. Acta Mathematica Academiae Scientiarum Hungaricae. 154(2). 265–278. 2 indexed citations

Берник, В. И., et al.. (2014). On algebraic points in the plane near smooth curves∗. Lithuanian Mathematical Journal. 54(3). 231–251. 1 indexed citations

Beresnevich, Victor & В. И. Берник. (2013). Diophantine approximation on classical curves and Hausdorff dimension. Digital Library of the Belarusian State University (Belarusian State University).

Берник, В. И., et al.. (2013). On Regular Systems of Real Algebraic Numbers of Third Degree in Short Intervals. 17. 61–75. 1 indexed citations

Берник, В. И., et al.. (2008). On the divisibility of the discriminant of an integral polynomial by prime powers. Lithuanian Mathematical Journal. 48(4). 380–396. 5 indexed citations

10.

Берник, В. И., et al.. (2008). A divergent Khintchine theorem in the real, complex, and p-adic fields. Lithuanian Mathematical Journal. 48(2). 158–173. 6 indexed citations

11.

Dickinson, Detta, et al.. (2007). Khintchine’s theorem and approximation of zero by the values of integer polynomials in different metrics. Doklady Mathematics. 75(2). 201–203. 2 indexed citations

12.

Берник, В. И., et al.. (2007). Algebraic points on the plane. Journal of Mathematical Sciences. 146(2). 5680–5685.

13.

Берник, В. И., et al.. (2006). Polynomials with small discriminants and regular systems of real algebraic numbers. Journal of Mathematical Sciences. 137(2). 4612–4616.

14.

Beresnevich, Victor, et al.. (2005). On approximation of p-adic numbers by p-adic algebraic numbers. Journal of Number Theory. 111(1). 33–56. 21 indexed citations

15.

Beresnevich, Victor, В. И. Берник, Dmitry Kleinbock, & G. A. Margulis. (2002). Metric Diophantine Approximation: The Khintchine—Groshev Theorem for Nondegenerate Manifolds. Moscow Mathematical Journal. 2(2). 203–225. 43 indexed citations

16.

Берник, В. И. & M. M. Dodson. (1999). Metric Diophantine Approximation on Manifolds. Cambridge University Press eBooks. 80 indexed citations

17.

Beresnevich, Victor, et al.. (1999). The Khintchine–Groshev theorem for planar curves. Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences. 455(1988). 3053–3063. 5 indexed citations

18.

Берник, В. И.. (1981). A METRIC THEOREM ON THE SIMULTANEOUS APPROXIMATION OF A ZERO BY THE VALUES OF INTEGRAL POLYNOMIALS. Mathematics of the USSR-Izvestiya. 16(1). 21–40. 8 indexed citations

19.

Берник, В. И.. (1977). INDUCED EXTREMAL SURFACES. Mathematics of the USSR-Sbornik. 32(4). 413–421. 1 indexed citations

20.

Берник, В. И.. (1972). Asymptotic number of solutions of some systems of diophantine inequalities. Mathematical Notes. 11(6). 378–380. 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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