Write your manuscript in English! Seek assistance if you are not an expert in the language. Keep the total length down as far as possible. Avoid repeating text from cited documents! Give citations only to documents that are cited in the text and are sources to your work. Remember to include only what is needed to state, prove and explain what you have done. The reader is somebody who uses or continues your research, not a student entering the area. There are several books you may consult on mathematical writing, I have used Strunk and White, Higham and Knuth.
Each paper should contain a short abstract. Write it in impersonal form with no formulas or references. It should be readable separate from the paper and written with no special typesetting.
Provide a list of key words and subject classifications using AMS categories .
ordered alphabetically after family name of first author, and number
them. Include only references you actually need to explain what
you have done.
Only number those formulas that you actually refer to in the manuscript! There is a latex utility chklref, that can be used to check redundant formulas and references after your ms is ready.
If you have figures, use labels and captions to make sure they are meaningful also to a reader that does not read the entire paper! Make sure that label text is large enough and lines and dots are thick enough to be readable. Color figures will be in color in the electronic version, but black and white on paper unless you ask for color, so use line styles that are distinguishable in black and white.
Follow the style exemplified by recent papers in BIT! Starting volume 49, 2009, manuscripts are typeset using the Springer svjour3 style. A sample manuscript with BIT choices of options is: BITtemplate.tex. The class files are: svjour3.cls and svglov3.clo, for the case they are not already included in your latex installation. A short users guide is at: usrguid3.pdf
Follow the steps prescribed in Submit a new manuscript! At the final step Attach Files, upload your LaTeX file as item Manuscript, then if needed your bibliography either as an original .bib file or as a compiled .bbl file, it is important to label also this as Manuscript , and then all your figures as Figure one by one as .eps or .pdf files. You may also upload files of type Supplementary material. They will not be included in the manuscript, but can be downloaded in EM and read while handling the submission.When all your files are uploaded, choose Next and Build pdf for my approval. The EM system then translates your latex into a pdf file, which you can look at with command view submission. The class files mentioned above, and many common packages, are already included in EM. You find a list of all .sty and .cls files included in EM at http://www.editorialmanager.de/pdf/latex/LaTeX-Styles-on-EM-PDF-Builder.pdf. Note that this list is 61 pages, so do not print it, just search for any file you will need.. More details on the EM latex are given at : http://www.editorialmanager.de/pdf/latex/