卞氏数学大一统算子在若干经典数论难题中的应用
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2026
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| _version_ | 1866901495639703552 |
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| author | 卞, 振峰 |
| author_facet | 卞, 振峰 |
| contents | <p>摘要<br> <br>本文利用作者原创的卞氏数学大一统算子,对三道具有代表性的经典数论难题给出统一、简洁、自洽的全新证明。全文仅依托单一算子结构,不借助复杂辅助工具,以直观的基元与场频思想完成推导,充分展示大一统算子在基础数学与数论体系中的强适配性、简洁性与普适性。所有证明过程可检验、可复现、可推广。<br> <br> <br> <br>Abstract<br> <br>This paper uses the author’s original Bian's Mathematical Unified Operator to provide a unified, concise, and self-consistent new proof for three representative classical problems in number theory. The entire text relies only on a single operator structure without complex auxiliary tools, using intuitive ideas of basic elements and field frequencies to complete the derivation. It fully demonstrates the strong adaptability, simplicity, and universality of the unified operator in fundamental mathematics and number theory. All proofs are testable, reproducible, and generalizable.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19892668 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | 卞氏数学大一统算子在若干经典数论难题中的应用 卞, 振峰 数学大一统,算子,数论,原始集问题,考拉兹猜想,质数分布 Mathematical Unification, Operator, Number Theory, Primitive Set Problem, Collatz Conjecture, Prime Distribution 数学,数论,理论数学,应用数学 Mathematics, Number Theory, Theoretical Mathematics, Applied Mathematics <p>摘要<br> <br>本文利用作者原创的卞氏数学大一统算子,对三道具有代表性的经典数论难题给出统一、简洁、自洽的全新证明。全文仅依托单一算子结构,不借助复杂辅助工具,以直观的基元与场频思想完成推导,充分展示大一统算子在基础数学与数论体系中的强适配性、简洁性与普适性。所有证明过程可检验、可复现、可推广。<br> <br> <br> <br>Abstract<br> <br>This paper uses the author’s original Bian's Mathematical Unified Operator to provide a unified, concise, and self-consistent new proof for three representative classical problems in number theory. The entire text relies only on a single operator structure without complex auxiliary tools, using intuitive ideas of basic elements and field frequencies to complete the derivation. It fully demonstrates the strong adaptability, simplicity, and universality of the unified operator in fundamental mathematics and number theory. All proofs are testable, reproducible, and generalizable.</p> |
| title | 卞氏数学大一统算子在若干经典数论难题中的应用 |
| topic | 数学大一统,算子,数论,原始集问题,考拉兹猜想,质数分布 Mathematical Unification, Operator, Number Theory, Primitive Set Problem, Collatz Conjecture, Prime Distribution 数学,数论,理论数学,应用数学 Mathematics, Number Theory, Theoretical Mathematics, Applied Mathematics |
| url | https://doi.org/10.5281/zenodo.19892668 |