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Journal of Number Theory
H-index 9

Journal of Number Theory

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 348 26 39 8

Additional Metrics

Number of Best Scientists*: 37
Documents by Best Scientists*: 49
Top 100 Ranked Scientists*: 5
SCIMAGO H-index: 53
SCIMAGO SJR: 0.723
Impact Factor: N/A

Overview

Top Research Topics at Journal of Number Theory?

The topics of Combinatorics, Discrete mathematics, Pure mathematics, Algebra and Integer are the focal point of discussions in Journal of Number Theory. The journal explores issues in Combinatorics which can be linked to other research areas like Function (mathematics), Upper and lower bounds and Sequence. The research on Discrete mathematics featured in Journal of Number Theory combines topics in other fields like Algebraic number and Field (mathematics).

The Pure mathematics study tackled is a key component of adjacent topics in the area of Mathematical analysis. It is mostly focused on Modular form, specifically Eisenstein series. The journal focuses on Galois module as well as the interrelated topic of Galois group.

Galois extension, Embedding problem and Galois cohomology are all areas of Galois group tackled in the journal.

  • Combinatorics (44.02%)
  • Discrete mathematics (40.07%)
  • Pure mathematics (31.06%)

What are the most cited papers published in the journal?

  • Probabilistic algorithm for testing primality (649 citations)
  • Low-discrepancy and low-dispersion sequences (389 citations)
  • On a problem of Oppenheim concerning “factorisatio numerorum” (283 citations)

Research areas of the most cited articles at Journal of Number Theory:

Discrete mathematics, Combinatorics, Pure mathematics, Algebra and Mathematical analysis are the main subjects of interest in the most cited papers. The most cited publications explore topics in Discrete mathematics which can be helpful for research in disciplines like Algebraic number, Order (group theory) and Prime (order theory). The works on Combinatorics tackled in the published papers bring together disciplines like Function (mathematics), Upper and lower bounds and Sequence.

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

  • Mathematical analysis
  • Combinatorics
  • Algebra

The previous edition focused in particular on these issues:

The objective of the journal is to combine knowledge in the areas of Combinatorics, Pure mathematics, Conjecture, Integer and Prime (order theory). The journal holds forums on Combinatorics that merges themes from other disciplines such as Function (mathematics), Polynomial and Order (group theory). In it, Quadratic equation, Degree (graph theory) and Finite field are investigated in conjunction with one another to address concerns in Pure mathematics research.

The field of Discrete mathematics is the anchor for the Conjecture studies presented in it. The in-depth study on Integer also explores topics in the intersecting field of Diophantine equation. The Modulo study featured in Journal of Number Theory draws parallels with the field of Congruence relation.

The most cited articles from the last journal are:

  • Modular hyperbolas and bilinear forms of Kloosterman sums (9 citations)
  • On additive co-minimal pairs (7 citations)
  • Satake compactification of analytic Drinfeld modular varieties (7 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 Journal of Number Theory (based on the number of publications) are:

  • Florian Luca (50 papers) published 5 papers at the last edition, 2 more than at the previous edition,
  • Zhi-Wei Sun (34 papers) absent at the last edition,
  • Yong-Gao Chen (33 papers) published 1 paper at the last edition,
  • Igor E. Shparlinski (30 papers) published 2 papers at the last edition the same number as at the previous edition,
  • M. Ram Murty (29 papers) published 1 paper at the last edition the same number as 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.

Only papers with recognized affiliations are considered

The top affiliations publishing in Journal of Number Theory (based on the number of publications) are:

  • Pennsylvania State University (120 papers) published 1 paper at the last edition, 4 less than at the previous edition,
  • Ohio State University (93 papers) published 1 paper at the last edition, 1 less than at the previous edition,
  • University of Illinois at Urbana–Champaign (91 papers) absent at the last edition,
  • Centre national de la recherche scientifique (69 papers) published 5 papers at the last edition, 2 more than at the previous edition,
  • Princeton University (67 papers) published 4 papers at the last edition, 2 less 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, 6.23% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 6.31% were posted by at least one author from the top 10 institutions publishing in the journal. Another 9.97% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 12.96% of all publications and 70.76% 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

  • MacMahon's partition analysis XIII: Schmidt type partitions and modular forms

    George E. Andrews;Peter Paule

    (2021)
    33 Citations
  • Variations of Lehmer's Conjecture for Ramanujan's tau-function

    Jennifer S. Balakrishnan;William Craig;Ken Ono

    (2020)
    22 Citations
  • The mean square of the error term in the prime number theorem

    Richard P. Brent;David J. Platt;Timothy S. Trudgian

    (2021)
    16 Citations
  • The asymptotic distribution of the rank for unimodal sequences

    Kathrin Bringmann;Chris Jennings-Shaffer;Karl Mahlburg

    (2021)
    16 Citations
  • On the moments of the moments of ζ(1/2 + it)

    Emma C Bailey;Jon Keating

    (2021)
    12 Citations
  • Rigid local systems with monodromy group the Conway group Co3

    Nicholas M. Katz;Antonio Rojas-León;Pham Huu Tiep

    (2020)
    11 Citations
  • Hausdorff dimension of the large values of Weyl sums

    Changhao Chen;Igor E. Shparlinski

    (2020)
    11 Citations
  • Existential Definability and Diophantine Stability

    (2022)
    11 Citations
  • Notes on isocrystals

    (2022)
    8 Citations
  • Inverse problems for minimal complements and maximal supplements

    Noga Alon;Noga Alon;Noah Kravitz;Matt Larson

    (2021)
    8 Citations

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Best Scientists Contributing to This Journal