Ludwig Reich

439 total citations
64 papers, 255 citations indexed

About

Ludwig Reich is a scholar working on Applied Mathematics, Geometry and Topology and Algebra and Number Theory. According to data from OpenAlex, Ludwig Reich has authored 64 papers receiving a total of 255 indexed citations (citations by other indexed papers that have themselves been cited), including 36 papers in Applied Mathematics, 26 papers in Geometry and Topology and 17 papers in Algebra and Number Theory. Recurrent topics in Ludwig Reich's work include Functional Equations Stability Results (33 papers), Advanced Differential Equations and Dynamical Systems (17 papers) and Advanced Topics in Algebra (17 papers). Ludwig Reich is often cited by papers focused on Functional Equations Stability Results (33 papers), Advanced Differential Equations and Dynamical Systems (17 papers) and Advanced Topics in Algebra (17 papers). Ludwig Reich collaborates with scholars based in Austria, Germany and Czechia. Ludwig Reich's co-authors include J. Smı́tal, Roman Ger, Julia Schwaiger, Francisco Balibrea, Franz Halter‐Koch, Péter Gruber, B. Schweizer, Leopold Schmetterer, Walter Benz and Edmund Hlawka and has published in prestigious journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Ludwig Reich

52 papers receiving 225 citations

Peers

Ludwig Reich
В. И. Берник Belarus
Tzee-Char Kuo Australia
Jean-Claude Tougeron Spain
Juan Arias de Reyna Spain
László Zsidó Italy
Kee Yuen Lam Canada
Alexander Brudnyi Canada
Kathryn E. Hare Canada
Ludger Kaup Germany
Takahiko Nakazi Japan
В. И. Берник Belarus
Ludwig Reich
Citations per year, relative to Ludwig Reich Ludwig Reich (= 1×) peers В. И. Берник

Countries citing papers authored by Ludwig Reich

Since Specialization
Citations

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

Fields of papers citing papers by Ludwig Reich

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ludwig Reich

This figure shows the co-authorship network connecting the top 25 collaborators of Ludwig Reich. A scholar is included among the top collaborators of Ludwig Reich 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 Ludwig Reich. Ludwig Reich is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Reich, Ludwig, et al.. (2013). Singular Solutions of the Generalized Dhombres Functional Equation. Results in Mathematics. 65(1-2). 251–261. 2 indexed citations
2.
Reich, Ludwig, et al.. (2012). On generalized Dhombres equations with non-constant rational solutions in the complex plane. Journal of Mathematical Analysis and Applications. 399(2). 542–550. 2 indexed citations
3.
Reich, Ludwig, et al.. (2011). Formal solutions of the generalized Dhombres functional equation with value one at zero. Aequationes Mathematicae. 83(1-2). 117–126. 2 indexed citations
4.
Reich, Ludwig, et al.. (2010). The formal translation equation for iteration groups of type II. Aequationes Mathematicae. 79(1-2). 111–156. 4 indexed citations
5.
Reich, Ludwig & J. Smı́tal. (2010). On generalized Dhombres equations with nonconstant polynomial solutions in the complex plane. Aequationes Mathematicae. 80(1-2). 201–208. 3 indexed citations
6.
Ger, Roman & Ludwig Reich. (2009). A generalized ring homomorphisms equation. Monatshefte für Mathematik. 159(3). 225–233. 15 indexed citations
7.
Reich, Ludwig, et al.. (2006). The holomorphic solutions of the generalized Dhombres functional equation. Journal of Mathematical Analysis and Applications. 333(2). 880–888. 4 indexed citations
8.
Reich, Ludwig, et al.. (2005). On the form of homomorphisms into the differential group Ls 1 and their extensibility. Results in Mathematics. 47(1-2). 61–68. 4 indexed citations
9.
Reich, Ludwig, et al.. (2004). The continuous solutions of a generalized Dhombres functional equation. Mathematica Bohemica. 129(4). 399–410. 7 indexed citations
10.
Menger, Karl, B. Schweizer, A. Sklar, et al.. (2003). Selecta Mathematica : Volume 2.
11.
Halter‐Koch, Franz & Ludwig Reich. (2001). Characterization of field homomorphisms by functional equations, II. Aequationes Mathematicae. 62(1). 184–191.
12.
Halter‐Koch, Franz & Ludwig Reich. (2000). Characterization of field homomorphisms by functional equations. Publicationes Mathematicae Debrecen. 56(1-2). 179–183.
13.
Halter‐Koch, Franz & Ludwig Reich. (1999). Additive functions commuting with Möbius transformations and field monomorphisms. Aequationes Mathematicae. 58(1-2). 176–182.
14.
Halter‐Koch, Franz, et al.. (1993). On products of additive functions. Aequationes Mathematicae. 45(1). 83–88. 3 indexed citations
15.
16.
Reich, Ludwig, et al.. (1984). Über algebraische Relationen zwischen additiven und multiplikativen Funktionen. Aequationes Mathematicae. 27(1). 114–134.
17.
18.
Reich, Ludwig. (1969). Das Typenproblem bei formal-biholomorphen Abbildungen mit anziehendem Fixpunkt. Mathematische Annalen. 179(3). 227–250. 25 indexed citations
19.
Reich, Ludwig. (1969). Normalformen biholomorpher Abbildungen mit anziehendem Fixpunkt. Mathematische Annalen. 180(3). 233–255. 19 indexed citations
20.
Reich, Ludwig, et al.. (1969). Kanonische Normalformen analytischer Differentialgleichungssysteme in der N�he einer Gleichgewichtslage. Mathematische Zeitschrift. 112(1). 1–4. 3 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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