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Acta Arithmetica
H-index 6

Acta Arithmetica

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 446 22 31 6

Additional Metrics

Number of Best Scientists*: 26
Documents by Best Scientists*: 35
Top 100 Ranked Scientists*: 1
SCIMAGO H-index: 47
SCIMAGO SJR: 0.518
Impact Factor: 0.4

Overview

Top Research Topics at Acta Arithmetica?

Acta Arithmetica generally zeroes in on subjects such as Pure mathematics, Combinatorics, Discrete mathematics, Algebra and Mathematical analysis. It dives deep in exploring the relationship between the study of Combinatorics and Upper and lower bounds. The main emphasis of the journal is the subject of Discrete mathematics, focusing on Diophantine equation.

  • Pure mathematics (27.64%)
  • Combinatorics (27.64%)
  • Discrete mathematics (27.12%)

What are the most cited papers published in the journal?

  • On sets of integers containing k elements in arithmetic progression (585 citations)
  • Discrépance de suites associées à un système de numération (en dimension s) (457 citations)
  • Échanges d'intervalles et transformations induites (305 citations)

Research areas of the most cited articles at Acta Arithmetica:

The most cited articles mainly deal with areas of study such as Discrete mathematics, Combinatorics, Pure mathematics, Algebra and Mathematical analysis. Logarithm and Algebraic number are some topics wherein Discrete mathematics research discussed in the published papers has an impact. The studies tackled in the most cited publications, which mainly focus on Combinatorics, apply to Upper and lower bounds as well.

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

  • Mathematical analysis
  • Algebra
  • Complex number

The previous edition focused in particular on these issues:

The primary areas of discussion in Acta Arithmetica are Combinatorics, Pure mathematics, Conjecture, Prime (order theory) and Series (mathematics). Sequence, Type (model theory) and Order (ring theory) are some topics wherein Combinatorics research discussed in the journal have an impact. In the Pure mathematics research discussed, Abelian group, Abelian variety, Rational number, Field (mathematics) and Elliptic curve are all tackled.

Topics in Conjecture explored in the journal were investigated in conjunction with research in Class (set theory) and Algebraic number field. Discussions in it are anchored in the subject of Series (mathematics) and the similar topic of Congruence relation. It explores topics in Integer which can be helpful for research in disciplines like Quadratic equation and Diophantine equation.

The most cited articles from the last journal are:

  • On the simultaneous 3-divisibility of class numbers of triples of imaginary quadratic fields (6 citations)
  • On the signed Selmer groups of congruent elliptic curves with semistable reduction at all primes above $p$ (4 citations)
  • Fourier coefficients of level 1 Hecke eigenforms (3 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.

The top authors publishing in Acta Arithmetica (based on the number of publications) are:

  • Andrzej Schinzel (54 papers) absent at the last edition,
  • Florian Luca (42 papers) published 1 paper at the last edition,
  • Kenneth S. Williams (33 papers) absent at the last edition,
  • Paul Erdös (32 papers) absent at the last edition,
  • Zhi-Wei Sun (31 papers) absent at the last 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.

Only papers with recognized affiliations are considered

The top affiliations publishing in Acta Arithmetica (based on the number of publications) are:

  • Tata Institute of Fundamental Research (60 papers) absent at the last edition,
  • University of Illinois at Urbana–Champaign (54 papers) published 1 paper at the last edition,
  • Nanjing University (41 papers) absent at the last edition,
  • University of Bordeaux (40 papers) published 2 papers at the last edition,
  • Hungarian Academy of Sciences (39 papers) absent at the last 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, 58.02% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 11.76% 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 11.76% of all publications and 67.65% 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.

Top Publications

  • On parametric geometry of numbers

    Wolfgang M. Schmidt

    (2020)
    14 Citations
  • On the 1-3-5 conjecture and related topics

    Hai-Liang Wu;Zhi-Wei Sun

    (2020)
    9 Citations
  • Critical zeros of lacunary L-functions

    J. B. Conrey;J. B. Conrey;H. Iwaniec;H. Iwaniec

    (2020)
    9 Citations
  • A new bound for the Erdős distinct distances problem in the plane over prime fields

    Alex Iosevich;Doowon Koh;Thang Pham;Chun-Yen Shen

    (2020)
    8 Citations
  • On a theorem of Davenport and Schmidt

    Nickolas Andersen;William Duke

    (2021)
    7 Citations
  • The Thue–Morse continued fractions in characteristic 2 are algebraic

    (2022)
    6 Citations
  • Remarks on the Selberg–Delange method

    Régis de la Bretèche;Gérald Tenenbaum

    (2021)
    5 Citations
  • Small gaps and small spacings between zeta zeros

    (2022)
    4 Citations
  • Defining $\mathbb Z$ using unit groups

    (2023)
    3 Citations
  • Selberg’s sieve of irregular density

    (2022)
    3 Citations

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