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Lecture
Modular Forms: Dimension Formulas
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Related lectures (31)
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Modular Arithmetic: Properties and Examples
Covers modular arithmetic properties, computation examples, and commutative rings.
Algorithms & Growth of Functions
Covers optimization algorithms, stable matching, and Big-O notation for algorithm efficiency.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Modular Lambda Function: Properties and Applications
Explores the modular lambda function, its properties, and applications in modular forms.
Sparsest Cut: (log n) Approximation Algorithm
Covers the (log n) approximation algorithm for the sparsest cut problem, presenting the mathematical theorems and proofs.
Modular Arithmetic: Inverses and Equations
Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.
Computing Voronoi Cell Part 2
Explores the computation of Voronoi cells, linear independence, uniqueness, and solving the Closest Vector Problem.
Open Mapping Theorem
Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.
Programming Fundamentals: Recap and Modular Approach
Covers fundamental programming concepts and highlights the importance of modular code design.
Modular Arithmetic: Foundations and Applications
Introduces modular arithmetic, its properties, and applications in cryptography and coding theory.