专题：Polynomial and algebraic computation

This cluster of papers covers topics in symbolic computing, including efficient algorithms for solving polynomial systems, Gröbner bases computation, tropical geometry, and applications in cryptography such as cryptanalysis of various cryptosystems. It also explores numerical methods for algebraic geometry and the use of max-plus algebra in certain computational problems.
最新文献
Degree-Local BSD Flows on Rational Isogeny Graphs: Valuation Potentials and Edge-Level Compensation in Cremona Isogeny Classes

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PCF-2: A Program Statement for the Cubic Extension of the Δ-Discriminant Transcendence Predicate

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Channel Theory for Polynomial Continued Fractions: Asymptotic Channels, the ξ₀ = 2/√β₂ Identity, and a Bridge Conjecture

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PCF-2: A Program Statement for the Cubic Extension of the Δ-Discriminant Transcendence Predicate (Version 1.4 — j=0 Chowla–Selberg PSLQ-Exhaustion Amendment)

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An Arithmetic Stratification of Polynomial Continued Fractions — v2.0 (Modular-Discriminant Framing)

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Complex Multiplication as a Transcendence Predicate for Degree-2 Polynomial Continued Fractions

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Experimental Evidence of a Topological Obstruction Separating P and NP: Connections to Geometric Complexity Theory, the Padding Barrier, and Algebraic Multiplicity Gaps

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Paper 0: Axiomatic Foundation and the Unified Invariant (Φ_z)

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Channel Theory for Polynomial Continued Fractions: Asymptotic Channels, the ξ₀ = 2/√β₂ Identity, and a Bridge Conjecture

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Complex Multiplication as a Transcendence Predicate for Degree-2 Polynomial Continued Fractions

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近5年高被引文献
Introduction to Algorithms

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Introduction to Singularities and Deformations

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Computational Mathematics

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Breaking Rainbow Takes a Weekend on a Laptop

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Mixed precision algorithms in numerical linear algebra

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Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability

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Integration of Algebraic Functions

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Computing Method for Combinatorial Geometric Series and Binomial Expansion

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An Introduction to Linear Algebra

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NeatIBP 1.0, a package generating small-size integration-by-parts relations for Feynman integrals

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