Abelian and Tauberian theorems

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Related lectures (31)

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Linear Transformations: Kernels and Images

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

Modular Arithmetic: Inverses and Equations

Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.

Sequences and Convergence: Understanding Mathematical Foundations

Covers the concepts of sequences, convergence, and boundedness in mathematics.

LISA proof assistant: Formalisation and Verification

Covers the LISA proof assistant's codebase organization, kernel package, FOL formalization, and proof package.

Mathematics: Cylinders and Parametrizations

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Theta functions: Properties and Transformations

Explores the properties and transformations of theta functions, including modular forms and lattice levels.

Chernoff Bounds

Explains Chernoff bounds, extractors, and their theorems with proofs.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Uniqueness of Solutions: Cauchy-Lipschitz Theorem

Covers the uniqueness of solutions in differential equations, focusing on the Cauchy-Lipschitz theorem and its implications for local and global solutions.

Concept of Proof in Mathematics

Delves into the concept of proof in mathematics, emphasizing the importance of evidence and logical reasoning.