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Related lectures (31)
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Programming Fundamentals: Recap and Modular Approach
Covers fundamental programming concepts and highlights the importance of modular code design.
Modular Forms: Dimension Formula
Explores modular forms, discussing pullback maps, meromorphic differentials, and the Riemann-Roch theorem.
Modular Curves: Genus and Mapping Theorems
Explores holomorphic maps, ramification points, and the genus of a modular curve.
L-values and Extensions
Explores de Rham theory, L-values, and extensions, including special value formulas and examples related to Hecke characters and modular forms.
Prime Numbers and Algorithms
Covers prime numbers, primality testing algorithms, modular arithmetic, and efficient exponentiation methods.
Dynamics on Homogeneous Spaces and Number Theory
Covers dynamical systems on homogeneous spaces and their interactions with number theory.
Modular Lambda Function: Properties and Applications
Explores the modular lambda function, its properties, and applications in modular forms.
Number Theory: Prime Numbers and Modular Arithmetic
Explores prime numbers, modular arithmetic, Wilson's theorem, and complexity analysis.
Modular curves: Riemann surfaces and transition maps
Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.
Prime Numbers: Deterministic Approaches
Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.