The University of Hawaii Student Conduct Code defines plagiarism this way:
Being found guilty of plagiarism can result in your dismissal from the university. Get into the habit of citing your sources. It is a good ethical practice, and provides you with a way of collecting resources that you can consult in the future.
You are probably familiar with APA, MLA, and Chicago styles of citations for research papers. For mathematics papers there is no standard citation style, but a good one to learn is the one used by the American Mathematical Society.
Ask your advisor or professor about the citation style they prefer. Regardless of the style, apply it consistently throughout your paper and make sure to proofread it the same way you would proofread the rest of your paper.
Citations have two components:
In-text citations are included in the body of your paper to refer the reader to the source of the information you used. They are short notes enclosed in parentheses or brackets and contain information like an author's name, the year that a source was published, or the page number to which you referred. The AMS style of in-text citation can simply be a number or an alpha-numeric code. The format depends on the citation style you choose. Some examples are
The format for your list of sources depends on the citation style you chose, but each entry on the list usually includes the
Pay close attention to the way that the style handles capitalization, abbreviations, punctuation, and spacing. Also, note that the order of the entries can vary. The citation may require the entries to be alphabetized by author, or be in the order they appear in your paper.
If you are using LaTeX to compose your paper, you can use the built-in citing commands to easily format your in-text citations as well as your references. Here are some resources for more information: