万维提示：
1、投稿方式：在线投稿。
2、官网网址：
https://link.springer.com/journal/42543
3、投稿系统：
https://www.editorialmanager.com/pkmj/
4、承办单位官网：
https://www.math.pku.edu.cn/index.htm
（北京大学数学科学学院）
5、官网邮箱：
anjinpeng@math.pku.edu.cn（安金鹏）
yan_guo@brown.edu（郭岩）
（更多编辑邮箱请查看期刊官网信息）
6、出刊日期：季刊，逢季末月出版。
2026年1月27日星期二
Submission guidelines
【官网信息】
Instructions for Authors
Manuscript Submission
Manuscript Submission
Submission of a manuscript implies: that the work described has not been published before; that it is not under consideration for publication anywhere else; that its publication has been approved by all co-authors, if any, as well as by the responsible authorities – tacitly or explicitly – at the institute where the work has been carried out. The publisher will not be held legally responsible should there be any claims for compensation.
Permissions
Authors wishing to include figures, tables, or text passages that have already been published elsewhere are required to obtain permission from the copyright owner(s) for both the print and online format and to include evidence that such permission has been granted when submitting their papers. Any material received without such evidence will be assumed to originate from the authors.
Online Submission
Please follow the hyperlink “Submit manuscript” and upload all of your manuscript files following the instructions given on the screen.
Source Files
Please ensure you provide all relevant editable source files at every submission and revision. Failing to submit a complete set of editable source files will result in your article not being considered for review. For your manuscript text please always submit in common word processing formats such as .docx or LaTeX.
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Title Page
Please make sure your title page contains the following information.
Title
The title should be concise and informative.
Author information
The name(s) of the author(s)
The affiliation(s) of the author(s), i.e. institution, (department), city, (state), country
A clear indication and an active e-mail address of the corresponding author
If available, the 16-digit ORCID of the author(s)
If address information is provided with the affiliation(s) it will also be published.
For authors that are (temporarily) unaffiliated we will only capture their city and country of residence, not their e-mail address unless specifically requested.
Large Language Models (LLMs), such as ChatGPT, do not currently satisfy our authorship criteria. Notably an attribution of authorship carries with it accountability for the work, which cannot be effectively applied to LLMs. Use of an LLM should be properly documented in the Methods section (and if a Methods section is not available, in a suitable alternative part) of the manuscript. The use of an LLM (or other AI-tool) for "AI assisted copy editing" purposes does not need to be declared. In this context, we define the term "AI assisted copy editing" as AI-assisted improvements to human-generated texts for readability and style, and to ensure that the texts are free of errors in grammar, spelling, punctuation and tone. These AI-assisted improvements may include wording and formatting changes to the texts, but do not include generative editorial work and autonomous content creation. In all cases, there must be human accountability for the final version of the text and agreement from the authors that the edits reflect their original work.
Abstract
Please provide a structured abstract of 150 to 250 words which should be divided into the following sections:
Purpose (stating the main purposes and research question)
Methods
Results
Conclusion
For life science journals only (when applicable)
Trial registration number and date of registration for prospectively registered trials
Trial registration number and date of registration followed by “retrospectively registered”, for retrospectively registered trials
Keywords
Please provide 4 to 6 keywords which can be used for indexing purposes.
Statements and Declarations
The following statements should be included under the heading "Statements and Declarations" for inclusion in the published paper. Please note that submissions that do not include relevant declarations will be returned as incomplete.
Competing Interests: Authors are required to disclose financial or non-financial interests that are directly or indirectly related to the work submitted for publication. Please refer to “Competing Interests and Funding” below for more information on how to complete this section.
Please see the relevant sections in the submission guidelines for further information as well as various examples of wording. Please revise/customize the sample statements according to your own needs.
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Classification code
MSC
An appropriate number of MSC codes should be provided. The Mathematics Subject Classification (MSC) is used to categorize items covered by the two reviewing databases, Mathematical Reviews and Zentralblatt MATH, see
www.ams.org/msc
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Text
For LaTeX submissions we encourage authors to use the Springer Nature LaTeX template when preparing a submission.
Please ensure you provide all relevant editable source files at every submission and revision.
Text Formatting
Manuscripts should be submitted in LaTeX. We recommend using Springer Nature’s LaTeX template. The submission should include the original source (including all style files and figures) and a PDF version of the compiled output.
Word files are also accepted.
Headings
Please use the decimal system of headings with no more than three levels.
Abbreviations
Abbreviations should be defined at first mention and used consistently thereafter.
Footnotes
Footnotes can be used to give additional information, which may include the citation of a reference included in the reference list. They should not consist solely of a reference citation, and they should never include the bibliographic details of a reference. They should also not contain any figures or tables.
Footnotes to the text are numbered consecutively; those to tables should be indicated by superscript lower-case letters (or asterisks for significance values and other statistical data). Footnotes to the title or the authors of the article are not given reference symbols.
Always use footnotes instead of endnotes.
Acknowledgments
Acknowledgments of people, grants, funds, etc. should be placed in a separate section on the title page. The names of funding organizations should be written in full.
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Scientific style
Please always use internationally accepted signs and symbols for units (SI units).
Please use the standard mathematical notation for formulae, symbols etc.: Italic for single letters that denote mathematical constants, variables, and unknown quantities; Roman/upright for numerals, operators, and punctuation, and commonly defined functions or abbreviations, e.g., cos, det, e or exp, lim, log, max, min, sin, tan, d (for derivative); Bold for vectors, tensors, and matrices.
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更多详见：
https://link.springer.com/journal/42543/submission-guidelines
