Author order in mathematics
In mathematical publications it has been common practice to date for the authors to appear in alphabetical order. The authors are equally responsible for the content, unless otherwise indicated and explained in the publication.
When publishing jointly with researchers from other disciplines, it is common practice to follow the conventions of the journal to which the paper is submitted.
In the case of journals in the field of numerics and scientific computing (e.g. SIAM Journal on Scientific Computing) and statistics, the authors are frequently no longer simply named in alphabetical order.
In mathematics, too, there has been a general development away from the previous strict alphabetical order of authors towards an order that reflects the share in research work. When deviating from the equal authorship model, where authors appear in alphabetical order, it is advisable to add a clear explanation of what the order is intended to reflect so as to avoid (potentially false) implicit assumptions. In particular, specific responsibilities can be explicitly mentioned such as software development.