Imre Kátai

1.0k total citations
131 papers, 507 citations indexed

About

Imre Kátai is a scholar working on Algebra and Number Theory, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Imre Kátai has authored 131 papers receiving a total of 507 indexed citations (citations by other indexed papers that have themselves been cited), including 71 papers in Algebra and Number Theory, 51 papers in Mathematical Physics and 37 papers in Applied Mathematics. Recurrent topics in Imre Kátai's work include Analytic Number Theory Research (64 papers), Advanced Mathematical Identities (27 papers) and Functional Equations Stability Results (15 papers). Imre Kátai is often cited by papers focused on Analytic Number Theory Research (64 papers), Advanced Mathematical Identities (27 papers) and Functional Equations Stability Results (15 papers). Imre Kátai collaborates with scholars based in Hungary, Canada and Germany. Imre Kátai's co-authors include B Kovács, Zoltán Daróczy, Jean–Marie De Koninck, János Galambos, Glyn Harman, Nicolas Doyon, Pierre Liardet, M. Venkata Subbarao, P. Erdös and Minyoung Lee and has published in prestigious journals such as SHILAP Revista de lepidopterología, Transactions of the American Mathematical Society and Mathematical and Computer Modelling.

In The Last Decade

Imre Kátai

92 papers receiving 427 citations

Peers

Imre Kátai

ANT

MP

CTM

GT

DMC

John Loxton Australia

Robert Rumely United States

Artūras Dubickas Lithuania

Hans Peter Schlickewei Germany

Jean‐Marc Deshouillers France

Douglas Hensley United States

John Knopfmacher South Africa

Graham Everest United Kingdom

S. W. Graham United States

Pieter Moree Germany

John Loxton Australia

Imre Kátai

191 ×0.7

ANT

145 ×0.6

MP

115 ×0.8

CTM

124 ×1.3

GT

83 ×1.0

DMC

Citations per year, relative to Imre Kátai Imre Kátai (= 1×) peers John Loxton

Countries citing papers authored by Imre Kátai

Since Specialization

Citations

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

Fields of papers citing papers by Imre Kátai

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Imre Kátai. 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 Imre Kátai. The network helps show where Imre Kátai may publish in the future.

Co-authorship network of co-authors of Imre Kátai

This figure shows the co-authorship network connecting the top 25 collaborators of Imre Kátai. A scholar is included among the top collaborators of Imre Kátai 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 Imre Kátai. Imre Kátai 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

1.

Kátai, Imre, et al.. (2023). On the multiplicative group generated by \Big\{{[\sqrt {2}n]\over n}~\mid~n\in\mathbb{N} \Big\}. V. SHILAP Revista de lepidopterología. 29(2). 348–353.

2.

Kátai, Imre, et al.. (2023). On the equation $F(n^3)=F(n^3-1)+D$ and some conjectures. Publicationes Mathematicae Debrecen. 103(1-2). 257–267.

3.

Kátai, Imre, et al.. (2021). Arithmetical functions commutable with sums of squares. Notes on Number Theory and Discrete Mathematics. 27(3). 143–154. 1 indexed citations

4.

Koninck, Jean–Marie De & Imre Kátai. (2010). Some Remarks on a Paper of L. Toth. Journal of integer sequences. 13(1). 2 indexed citations

5.

Kátai, Imre, et al.. (2000). On some pairs of multiplicative functions correlated by an equation II. Aequationes Mathematicae. 59(3). 287–297. 1 indexed citations

6.

Kátai, Imre & M. Venkata Subbarao. (1999). On the iterates of the sum of exponential divisors.. 10(2). 153–158.

7.

Kátai, Imre & M. Venkata Subbarao. (1998). The Characterization of nir as a Multiplicative Function. Acta Mathematica Academiae Scientiarum Hungaricae. 81(4). 349–353. 1 indexed citations

8.

Kátai, Imre, et al.. (1997). Number of Prime Divisors ofϕk(n), whereϕkIs thek-fold Iterate ofϕ. Journal of Number Theory. 65(2). 226–239. 5 indexed citations

9.

Koninck, Jean–Marie De, et al.. (1997). A New Characteristic of the Identity Function. Journal of Number Theory. 63(2). 325–338. 7 indexed citations

10.

Galambos, János, et al.. (1992). Probability theory and applications : essays to the memory of József Mogyoródi. Kluwer Academic Publishers eBooks. 3 indexed citations

11.

Kátai, Imre, et al.. (1990). Multiplicative functions with small increments. I. Acta Mathematica Academiae Scientiarum Hungaricae. 55(1-2). 97–101. 1 indexed citations

12.

Kátai, Imre, et al.. (1989). Generalized moments of additive functions. Journal of Number Theory. 32(3). 281–288. 4 indexed citations

13.

Galambos, János & Imre Kátai. (1987). The Gaps in a Particular Sequence of Integers of Positive Density. Journal of the London Mathematical Society. s2-36(3). 429–435. 1 indexed citations

14.

Kátai, Imre, et al.. (1981). Some remarks concerning the sum of digits of integers. Acta Mathematica Academiae Scientiarum Hungaricae. 37(1-3). 165–172.

15.

Kátai, Imre, et al.. (1978). Processing of random sequences with priority.. Acta Cybernetica. 4(9). 85–101.

16.

Kátai, Imre. (1976). The distribution of divisors mod 1. Acta Mathematica Academiae Scientiarum Hungaricae. 27(1-2). 149–152. 2 indexed citations

17.

Erdös, P. & Imre Kátai. (1971). Non complete sums of multiplicative functions. Periodica Mathematica Hungarica. 1(3). 209–212. 3 indexed citations

18.

Kátai, Imre. (1970). On a problem of P. Erdös. Journal of Number Theory. 2(1). 1–6. 12 indexed citations

19.

Kátai, Imre, et al.. (1969). On the number of solutions of a diophantine system. Acta Mathematica Academiae Scientiarum Hungaricae. 20(1-2). 185–191. 3 indexed citations

20.

Kátai, Imre. (1968). On distribution of arithmetical functions on the set prime plus one. Compositio Mathematica. 19(4). 278–289. 10 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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