International Journal of Number Theory

Top Research Topics at International Journal of Number Theory?

International Journal of Number Theory explores disciplines such as Combinatorics, Pure mathematics, Discrete mathematics, Integer and Prime (order theory). It addresses concerns in Combinatorics which are intertwined with other disciplines, such as Function (mathematics) and Polynomial. The Pure mathematics works featured in it incorporate elements from Mathematical analysis and Algebra.

The Discrete mathematics study featured in the journal draws parallels with the field of Prime factor. Eisenstein series, Hecke operator and Modular curve are among the concentrations of Modular form that garnered much attention in the journal.

• Combinatorics (41.04%)
• Pure mathematics (36.82%)
• Discrete mathematics (30.74%)

What are the most cited papers published in the journal?

• MORE ON THE SUM-PRODUCT PHENOMENON IN PRIME FIELDS AND ITS APPLICATIONS (231 citations)
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS (105 citations)
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY" (89 citations)

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

The published articles aim to foster the development of research in Combinatorics, Discrete mathematics, Pure mathematics, Congruence relation and Algebra. The journal publications explore issues in Combinatorics which can be linked to other research areas like Quadratic equation, Mathematical analysis and Binary quadratic form. The journal articles address concerns in Discrete mathematics which are intertwined with other disciplines, such as Basic hypergeometric series, Modular form and Prime (order theory).

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

• Algebra
• Combinatorics
• Mathematical analysis

The previous edition focused in particular on these issues:

The topics of Combinatorics, Pure mathematics, Integer, Algebraic number field and Prime (order theory) are the focal point of discussions in the journal. Combinatorics research featured in the journal incorporates concerns from various other topics such as Function (mathematics) and Sequence. Most of the works presented in it deals with Pure mathematics but it intersects with the subject of Degree (graph theory).

The research on Integer featured in the journal combines topics in other fields like Polynomial and Square-free integer. While Modular form is the focus of it, it also provided insights into the studies of Holomorphic function and Theta function. Congruence relation study tackled is connected to the field of Congruence (manifolds).

The most cited articles from the last journal are:

• A further q-analogue of Van Hamme’s (H.2) supercongruence for primes p ≡ 3(mod4) (15 citations)
• A New Subconvex Bound for GL(3) L-Functions in the t-Aspect (11 citations)
• The Ramanujan–Dyson identities and George Beck’s congruence conjectures (6 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 International Journal of Number Theory (based on the number of publications) are:

• Florian Luca (28 papers) published 4 papers at the last edition, 2 more than at the previous edition,
• Zhi-Wei Sun (21 papers) absent at the last edition,
• Kenneth S. Williams (15 papers) absent at the last edition,
• M. Ram Murty (13 papers) published 1 paper at the last edition,
• Kurt Girstmair (13 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.

Top affiliations and change over time

Only papers with recognized affiliations are considered

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

• University of Illinois at Urbana–Champaign (41 papers) published 5 papers at the last edition, 4 more than at the previous edition,
• Pennsylvania State University (29 papers) published 6 papers at the last edition, 5 more than at the previous edition,
• Queen's University (24 papers) published 1 paper at the last edition the same number as at the previous edition,
• Carleton University (23 papers) absent at the last edition,
• University of British Columbia (21 papers) published 4 papers at the last edition, 2 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, 8.77% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 12.82% were posted by at least one author from the top 10 institutions publishing in the journal. Another 7.05% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 13.46% of all publications and 66.67% 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.