Aequationes Mathematicae

Top Research Topics at Aequationes Mathematicae?

The journal primarily focuses on research topics in Combinatorics, Discrete mathematics, Pure mathematics, Functional equation and Mathematical analysis. Combinatorics research featured in the journal incorporates concerns from various other topics such as Function (mathematics), Group (mathematics) and Regular polygon. Topics in Pure mathematics explored in the journal were investigated in conjunction with research in Class (set theory) and Type (model theory).

The Functional equation study featured in Aequationes Mathematicae draws connections with the study of Algebra. The work tackled in the journal goes beyond the discipline of Mathematical analysis as it also encompasses Applied mathematics.

• Combinatorics (35.32%)
• Discrete mathematics (27.25%)
• Pure mathematics (26.07%)

What are the most cited papers published in the journal?

• On the simultaneous associativity of F(x, y) and x + y - F(x, y). (857 citations)
• Remarks on the stability of functional equations (532 citations)
• Hyers—Ulam stability of functional equations in several variables (428 citations)

Research areas of the most cited articles at Aequationes Mathematicae:

The most cited articles mostly deal with topics like Combinatorics, Discrete mathematics, Pure mathematics, Mathematical analysis and Functional equation. The journal publications focus on Discrete mathematics but the discussions also offer insight into other areas such as Interval (graph theory) and Abelian group. The works on Pure mathematics tackled in the published articles bring together disciplines like Cauchy distribution, Generalization and Algebra.

What topics the last edition of the journal is best known for?

• Mathematical analysis
• Algebra
• Real number

The previous edition focused in particular on these issues:

Pure mathematics, Combinatorics, Functional equation, Type (model theory) and Bounded function are among the topics commonly tackled in the journal. Aequationes Mathematicae facilitates discussions on Pure mathematics that incorporate concepts from other fields like Function (mathematics), Class (set theory) and Cauchy distribution. Cauchy distribution research presented in the journal encompasses a variety of subjects, including Cauchy's equation and Differentiable function.

The work on Combinatorics tackled in it brings together disciplines like Semigroup, Multiplicative function and Group (mathematics). Aequationes Mathematicae explores issues in Functional equation which can be linked to other research areas like Quadratic functional, Abelian group and Of the form. The journal holds forums on Type (model theory) that merges themes from other disciplines such as Invariant (mathematics), Inequality and Hermite polynomials.

The most cited articles from the last journal are:

• The small dimension lemma and d’Alembert’s equation on semigroups (5 citations)
• Hyers–Ulam stability for quantum equations (5 citations)
• Some trigonometric functional equations on monoids generated by their squares (5 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Aequationes Mathematicae (based on the number of publications) are:

• Walter Benz (33 papers) absent at the last edition,
• Bruce Ebanks (31 papers) published 2 papers at the last edition the same number as at the previous edition,
• Janusz Matkowski (30 papers) published 1 paper at the last edition, 1 less than at the previous edition,
• Henrik Stetkær (29 papers) published 2 papers at the last edition, 1 more than at the previous edition,
• Karol Baron (29 papers) published 1 paper at the last edition, 1 less than at the previous edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Aequationes Mathematicae (based on the number of publications) are:

• University of Waterloo (159 papers) absent at the last edition,
• Silesian University (108 papers) published 1 paper at the last edition,
• Pedagogical University (87 papers) published 1 paper at the last edition, 2 less than at the previous edition,
• University of Debrecen (82 papers) published 6 papers at the last edition the same number as at the previous edition,
• University of Graz (48 papers) published 2 papers at the last edition, 1 more than at the previous edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 8.93% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 22.55% were posted by at least one author from the top 10 institutions publishing in the journal. Another 8.82% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 5.88% of all publications and 62.75% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.