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Algebra Number Theory

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Algebra Number Theory

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Research Frontiers in p-adic Analysis and Hensel Lifting

Investigation of p-adic valuations, p-adic numbers, and Hensel lifting techniques for solving congruences and equations.

Hensel Lifting Beyond Polynomial Equations
p-adic Analytic Manifolds and Rigid Geometry
Convergence Phenomena in p-adic Power Series
Lifting Obstructions in Non-linear Systems
p-adic Cohomology and Étale Representations
Multivariable Hensel Lemmas and Singularities
Computational Efficiency in p-adic Approximation
Deformation Theory via p-adic Methods
p-adic Interpolation and L-function Zeros
Hensel's Philosophy in Arithmetic Geometry

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