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dongqi liu

29 results in Authors: dongqi liu

Mathematics

Working Paper

Unified Analytic Solution of Integral Equations in Integral Algebraic Closure

dongqi liu, shifa liu

Version 1 posted 17 October 2025

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Mathematics

Working Paper

A Differential Algebraic Proof of the Birch and Swinnerton-Dyer Conjecture

dongqi liu, shifa liu

Version 1 posted 01 December 2025

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Mathematics

Working Paper

Differential Algebraic Closure Solution of Polynomial Equations and Its Equivalence to Transcendental Function Representations

dongqi liu, shifa liu

Version 1 posted 16 January 2026

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Mathematics

Working Paper

Unified Solving of Structured Diophantine Equations via Hierarchical Arithmetic Differential Closure: A Constructive and Effective Framework

dongqi liu, shifa liu

Version 1 posted 11 October 2025

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Mathematics

Working Paper

Differential-Algebraic Extension Field Solutions for Polynomial Equations with Complex Coefficients: A Comprehensive Extension

dongqi liu, shifa liu

Version 1 posted 16 January 2026

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Physics and Astronomy

Working Paper

Quantum Space-Time Relativity: A Unified Framework from LLS Formulation to Consistent Dirac-Type Theory with Comprehensive Experimental Validation

dongqi liu, shifa liu

Version 1 posted 04 November 2025

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Physics and Astronomy

Working Paper

The Big Bang: From Singularity Big Bang to Zero-Point Big Bang

dongqi liu, shifa liu

Version 1 posted 23 February 2026

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Mathematics

Working Paper

A Rigorous Framework for the Hodge Conjecture via Differential Algebraic and Homological Algebraic Methods

dongqi liu, shifa liu

Version 1 posted 27 November 2025

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Mathematics

Working Paper

Unified Solving of Exponential Diophantine Equations via Hierarchical Differential Algebraic Closure: A Complete Constructive Framework for Structured Subclasses

dongqi liu, shifa liu

Version 1 posted 11 October 2025

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Physics and Astronomy

Working Paper

The Standard Form of Special Potential Relativity: A Unified Framework for Extended Quantum Field Theory and General Relativity

dongqi liu, shifa liu

Version 2 posted 11 October 2025

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29 results in dongqi liu in Authors: dongqi liu

Unified Analytic Solution of Integral Equations in Integral Algebraic Closure

A Differential Algebraic Proof of the Birch and Swinnerton-Dyer Conjecture

Differential Algebraic Closure Solution of Polynomial Equations and Its Equivalence to Transcendental Function Representations

Unified Solving of Structured Diophantine Equations via Hierarchical Arithmetic Differential Closure: A Constructive and Effective Framework

Differential-Algebraic Extension Field Solutions for Polynomial Equations with Complex Coefficients: A Comprehensive Extension

Quantum Space-Time Relativity: A Unified Framework from LLS Formulation to Consistent Dirac-Type Theory with Comprehensive Experimental Validation

The Big Bang: From Singularity Big Bang to Zero-Point Big Bang

A Rigorous Framework for the Hodge Conjecture via Differential Algebraic and Homological Algebraic Methods

Unified Solving of Exponential Diophantine Equations via Hierarchical Differential Algebraic Closure: A Complete Constructive Framework for Structured Subclasses

The Standard Form of Special Potential Relativity: A Unified Framework for Extended Quantum Field Theory and General Relativity

29 results in Authors: dongqi liu