INTEGERS: The Electronic Journal of Combinatorial Number Theory's Submission Info

Instructions for Authors

I. SUBMITTING AN ARTICLE

Submitting an article for consideration in Integers is done electronically by emailing a pdf file of the article to integersjournal@gmail.com. In the accompanying email message, please indicate the article's MSC (Mathematical Subject Classification) codes and keywords.

Important note: once an article is accepted, we will require a source file and any associated graphics files. See below for more information.

II. REVIEW PROCESS

When an article is submitted, an email will be sent (within the next several days) to the submitting author acknowledging receipt of the paper. The Editors will assess the paper and decide if it will be sent out to be refereed. Sometimes, because the paper contains extensive grammatical errors or is otherwise deemed to be of insufficient quality, or because its focus lies outside the journal's scope, the submission will be returned to the submitting author without it being formally refereed. For all other submissions, one or more referee reports will be obtained. We use a blind peer-review process in which the names of the authors of the manuscript are known to the referees, but the authors do not know the identity of the referees. Important criteria considered by the referees and editors include the following:

the newness/novelty of the paper's contributions
the correctness of the results
the interest and relevance of the subject matter
the quality of the writing and grammar

When the referee report(s) is received, it will be sent to the corresponding author along with the editors' decision or recommendation.

When authors are informed that the editors plan to accept the paper, they will be asked to do the following: (a) format the paper according to the formatting instructions (see below), and (b) carefully proofread the paper and repair all grammar and formatting errors. Once these steps are done, the authors should send the new LaTeX file, the corresponding .pdf file, and any graphics files (if needed) as separate attachments. Note that papers will not be formally accepted for publication until all the above-mentioned steps have been satisfactorily completed

III. BASIC LATEX FILE CONSTRUCT

In order for Integers to be as homogeneous in appearance as possible, and to help insure a quicker publication of your paper, we request that you follow a few basic guidelines, given below, while formatting your paper for publication in Integers:

Important: Please include any and all line skips that are given below.

The beginning of your latex file should read exactly as follows:

\documentclass[10pt]{article}
\textwidth= 5.00in
\textheight= 7.4in
\topmargin = 30pt
\evensidemargin=0pt
\oddsidemargin=55pt
\headsep=17pt
\parskip=.5pt
\parindent=12pt
\font\smallit=cmti10
\font\smalltt=cmtt10
\font\smallrm=cmr9

\usepackage{amssymb,latexsym,amsmath,epsfig,amsthm} %% Add other packages as necessary

\makeatletter

\renewcommand\section{\@startsection {section}{1}{\z@}
{-30pt \@plus -1ex \@minus -.2ex}
{2.3ex \@plus.2ex}
{\normalfont\normalsize\bfseries\boldmath}}

\renewcommand\subsection{\@startsection{subsection}{2}{\z@}
{-3.25ex\@plus -1ex \@minus -.2ex}
{1.5ex \@plus .2ex}
{\normalfont\normalsize\bfseries\boldmath}}

\renewcommand{\@seccntformat}[1]{\csname the#1\endcsname. }

\newcommand\blfootnote[1]{
\begingroup
\renewcommand\thefootnote{}\footnote{#1}
\addtocounter{footnote}{-1}
\endgroup
}

\makeatother

\newtheorem{theorem}{Theorem}
\newtheorem{lemma}{Lemma}
\newtheorem{proposition}{Proposition}
\newtheorem{corollary}{Corollary}

\theoremstyle{definition}
\newtheorem{definition}{Definition}
\newtheorem{conjecture}{Conjecture}
\newtheorem{remark}{Remark}
\newtheorem{example}{Example}

%% add any other theorem environments you will used

\begin{document}

Next comes your title and author list information in the following construct:

\begin{center}
\uppercase{\bf \boldmath Generalizing Titles into \lowercase{$q$}-Titles}
\vskip 20pt
{\bf Author One\footnote{any footnote here}}\\
{\smallit Department of Mathematics, One University, Somewhere, State, Country}\\
{\tt me@math.one.edu}\\ (optional)
\vskip 10pt
{\bf Author Two\footnote{any footnote here}}\\
{\smallit Department of Mathematics, University of Two, Anywhere, Country}\\
{\tt you@math.two.edu}\\ (optional)
\end{center}
\vskip 20pt

\centerline{\smallit Received: , Revised: , Accepted: , Published: } % We will fill in the dates
\vskip 30pt

Followed by your abstract in the following construct:

\centerline{\bf Abstract}

\noindent
Put your abstract here. Please limit it to half of a page of text.

\pagestyle{myheadings}
\markright{\smalltt INTEGERS: 25 (2025)\hfill}
\thispagestyle{empty}
\baselineskip=12.875pt
\vskip 30pt

Your paper starts here with your first section.

IV. ADDITIONAL FORMATTING AND STYLISTIC GUIDELINES

Do not include zip codes or postal numbers in authors' affiliations.
All sentences should begin with an English word. Do not begin a sentence with mathematical notation
All statements, including those used to introduce a Theorem, should be complete sentences
In the titles of sections and subsections, the first letter of each word should be uppercase (except for articles, conjunctions, and prepositions).
Do not use contractions (e.g., that's, we'd, don't).
When giving definitions, use italics (but not boldface) for the words being defined.
If you state a numbered theorem or other result that is cited from a previous publication, please format as in the following example:
\noindent{\bf Theorem 1} ([4]). {\em If $x > 1$, then $x+1 > 2$.}
or
\begin{theorem}[\cite{XYZ}] If $x > 1$, then $x+1 > 2$.
\end{theorem}
Table labels should appear just beneath the table (not above).
When referring to a numbered theorem or other result, capitalize the word "Theorem" (or Lemma, Corollary, etc.), and do not abbreviate the word.
When referring to a numbered equation in the text, write it in the form "Equation (n)" where n is the number of the equation
Do not use the symbols "&", "\exists" or "\forall," but instead write the words, i.e., "and", "there exists," and "for all."
Whenever practical, when using logical connectives, such as "if and only if" and "implies," use words rather than arrows or double arrows.
Please denote the start of your proofs by \begin{proof} and end them with \end{proof}
Acknowledgement Section: If used, it should be at the end of the paper, immediately before the bibliography. It should be formatted in regular font, and should begin with:
\vskip 20pt\noindent {\bf Acknowledgement.} or \vskip20pt\noindent {\bf Acknowledgements.}
REFERENCES: For references, please list them alphabetically by first author's last name and have the labels be numeric. For article titles, only the first word and proper nouns should be capitalized. For book titles, all words, except articles, prepositions, and conjunctions, should be capitalized.
It is important that your references be part of your paper and not in a separate file. The Reference section should be the last section, unless there are appendices (which come after the reference section).
- For article references, please follow the following format:
  J. Deer and K. Doe, On the history of mathematics, {\it J. of the World} {\bf 52} (1999), 123-135.
- For article references with both a volume number and an issue number, please follow the following format:
  J. Deer and K. Doe, On the history of mathematics, {\it J. of the World} {\bf 52} (3) (1999), 123-135.
- For book references, please follow the following format:
  A. Jones, L. Smith, and C. Vector, {\it The Theory of Everything}, Publishing Company, New York, 1987.
- For thesis references, please follow the following format:
  D. B. Cooper, {\it How to Make Money}, Ph.D. thesis, Skyfall University, 1971.
- For papers appearing within larger works (e.g., a paper in a conference proceedings, a book chapter, etc.), please follow the following format:
  A. Reid and B. Wright, Important number theory result, in {\it The Big Math Book}, Publishing Company, Boston, MA, 1975, 123-135.
- For preprints posted to arXiv.org, please follow the following format:
  R. Evans and D. Zager, Math in the future, preprint, {\tt arXiv: 2525.31415}.
- Please use the AMS abbreviations for journals (see this link).
Your reference section should be of the following form:
\begin{thebibliography}{1}\footnotesize
\bibitem{A} J. Author, My first math paper, {\it Integers} {\bf 25} (2020), \#A32.
\bibitem{CD} I. Can and N. Do, Proof of existence, {\it J. Math. Stuff} {\bf 17} (2000), 19-23.
\end{thebibliography}
If you use BibTeX, Peter Selinger has provided a BibTex style file, which formats according to our journal standards. The only item to address with its usage is to use the abbreviated names of journals. The editors at Integers do not make any warranty on this and cannot provide any troubleshooting on its usage.