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How to publish mathematical academic papers in core journals.
Publishing mathematical academic papers in core journals needs to follow the following steps:

1. topic selection and research: select an innovative and practical mathematical problem for research. Ensure that the selected topic has certain academic value and influence in this field.

2. Literature review: refer to the literature in related fields to understand the research background, present situation and development trend. Summarize and evaluate the existing research results, and provide theoretical basis for your own research.

3. Research methods and argumentation: Make clear the research methods and argumentation process to ensure the logic and rigor of the paper. In the process of writing, we should pay attention to the use of mathematical symbols and formulas to express our views and make the paper more professional.

4. Writing a paper: write a paper according to the format requirements of the journal, including abstract, introduction, text, conclusion and other parts. In the process of writing, pay attention to keep the structure of the paper clear, the language concise and the arguments sufficient.

5. Peer review: After completing the first draft, you can consult your tutor or peer experts for review, listen to their opinions and suggestions, and revise and improve the paper.

6. Submission and review: select appropriate core journals for submission. When submitting a manuscript, you should carefully read the submission requirements and review process of the journal to ensure that the paper meets the requirements of the journal. In the process of reviewing the manuscript, we should take seriously the opinions and suggestions of the reviewers and modify and improve the paper.

7. Publication and promotion: After the paper is hired, it will be typeset and proofread according to the requirements of the journal. After the paper is published, it can be promoted through academic conferences, online platforms and other ways to improve the influence and popularity of the paper.

In a word, publishing mathematical academic papers in core journals requires a solid mathematical foundation, rigorous research attitude and good writing ability. Through the above steps, it is expected to successfully publish mathematical academic papers in core journals.