Illinois Journal of Mathematics

Aims & Scope

IJM strives to publish high quality research papers in all areas of mainstream mathematics that are of interest to a substantial number of its readers.

IJM is published by Duke University Press on behalf of the Department of Mathematics at the University of Illinois at Urbana-Champaign.

Metrics & Ranking

Abstracting & Indexing

Journal is indexed in leading academic databases, ensuring global visibility and accessibility of our peer-reviewed research.

• Scopus
• Google Scholar

Subjects & Keywords

Journal’s research areas, covering key disciplines and specialized sub-topics in Mathematics, designed to support cutting-edge academic discovery.

Licensing & Copyright

This journal operates under an Open Access model. Articles are freely accessible to the public immediately upon publication. The content is licensed under a Creative Commons Attribution 4.0 International License (CC BY 4.0), allowing users to share and adapt the work with proper attribution.

Copyright remains with the author(s), and no permission is required for non-commercial use, provided the original source is cited.

Most Cited Articles

The Most Cited Articles section features the journal's most impactful research, based on citation counts. These articles have been referenced frequently by other researchers, indicating their significant contribution to their respective fields.

• Approximate formulas for some functions of prime numbers

  Citation: 656

  Authors: J. Barkley, Lowell

• Every planar map is four colorable. Part I: Discharging

  Citation: 461

  Authors: K., W.

• Every planar map is four colorable. Part II: Reducibility

  Citation: 335

  Authors: K., W., J.

• Amenable semigroups

  Citation: 227

  Authors: Mahlon M.

• A schwarz inequality for positive linear maps on $C^{\ast}$-algebras

  Citation: 216

  Authors: Man-Duen

• Adjoint functors and triples

  Citation: 214

  Authors: Samuel, John C.

• Copulas and Markov processes

  Citation: 211

  Authors: William F., Bao, Elwood T.

• Homology of Noetherian rings and local rings

  Citation: 187

  Authors: John

• On the Cauchy problem for an integrable equation with peakon solutions

  Citation: 164

  Authors: Zhaoyang

• Multipliers of the Dirichlet space

  Citation: 151

  Authors: David A.