The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
Other MSP Journals

The aim of Essential Number Theory is to publish articles of excellent utility and clarity, in all areas of number theory. The utility and clarity standards for publication are these:

  • is the paper about a topic of widely regarded importance in number theory?
  • does the paper explain aspects of this topic that are not currently explained in the literature?
  • is the paper accessible to a large audience of number theorists, including graduate students?
  • will researchers widely read and use this article?

Essential Number Theory intends for accepted articles to become go-to references for researchers learning about an area of number theory. Our goal is to deepen the impact of the most important developments in number theory, by making sure they are communicated to as broad an audience as possible. We expect that frequently authors will find it effective to write about research that initially appeared in work of others.

Essential Number Theory is the place to publish, well, the essentials for doing and learning number theory. For example, ENT is the place to publish high-quality papers about

  • a special case of a major new theorem, which illustrates key aspects of the proof in a simpler setting;
  • a streamlined, clarified, or improved proof that opens a new perspective on an important theorem;
  • a key progression of ideas whose rigorous details are usually omitted from papers;
  • the motivations for an important conjecture;
  • ideas that span two areas and need to be “translated” in order to be useful to number theorists;
  • the inner workings of a tool that is commonly used as a “black box”;
  • the details of a useful “folk” statement that doesn’t have a proper reference in the literature;
  • a synthesis of multiple ideas that need to be combined in order to understand current trends in the field;
  • a compilation of best-known outcomes of a range of methods when applied to an important problem;

and many more expositions that will enhance the experience of working in number theory.

Articles of varying lengths are considered, typically ranging from 5 to 60 pages, depending on the length that most usefully serves the topic at hand.

Essential Number Theory will be published free to access and read through the end of 2023, and by subscriptions afterwards.


ENT is published by MSP (Mathematical Sciences Publishers), alongside other top journals. MSP is a nonprofit who believes that fair-priced scholar-led subscription journals remain the best stewards of quality and fairness, and strives to offer the highest quality at the lowest sustainable prices. MSP also developed EditFlow, the popular peer-review web application.

Impartiality Statement

The purpose of Essential Number Theory is the advancement of mathematics. Editors evaluate submitted papers strictly on the basis of scientific merit with the help of peer review reports, without regard to authors’ nationality, country of residence, institutional affiliation, gender, ethnic origin, religion, or political views.

Peer Review

This journal operates a single-anonymized review process (the names of the reviewers are hidden from the author). All contributions will be initially assessed by an editor for suitability for the journal. Papers deemed suitable are then typically sent to a minimum of one independent expert reviewer to assess the scientific quality of the paper. The editors are responsible for the final decision regarding acceptance or rejection of articles. The editors’ decisions are final. Editors are not involved in decisions about papers which they have written themselves.