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Number theory
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Related lectures (10)
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Effective Field Theory: Testing Weak Interactions
Explores effective field theory for testing weak interactions and parity violation through forward-backward asymmetry.
Taylor Series and Definite Integrals
Explores Taylor series for function approximation and properties of definite integrals, including linearity and symmetry.
Symmetries in Quantum Field Theory
Explores symmetries in quantum field theory, focusing on transformation rules and Casimir operators.
Equidistribution of CM Points
Explores the joint equidistribution of CM points and their properties in ergodic theory and homogeneous dynamics.
Renormalization and Beta Function
Explores renormalization, beta function implications, and perturbation theory in quantum field theory.
Quantum Field Theory: Fermions and Grassmann Numbers
Explores quantum field theory, focusing on fermions and Grassmann numbers in the path integral formalism.
The Ring of Eisenstein Integers: Properties and Applications
Covers the properties of the ring of Eisenstein integers and its submodule structure.
Eigenstate Thermalization Hypothesis
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Goldstone Bosons: Higgs Mechanism
Explores Goldstone bosons and the Higgs mechanism, revealing how spontaneous symmetry breaking generates mass for gauge bosons.
Windowing Exponentiation
Explores windowing exponentiation with base-B representation and precomputed small powers of x for efficient computation.
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