Modular Forms: Properties and Applications

Related lectures (30)

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Covers the Petersson inner product and Hecke operators in modular forms theory, exploring their definitions and properties.

Series covers spherical coordinates, harmonics, Legendre polynomials, and angular momentum.

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

Covers Fourier series, periodic functions, and Fourier transforms.

Covers differentiable functions, extreme points, and the Lagrange multiplier method for optimization.

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Covers functions, including even and odd functions, periodicity, and function operations.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explores the intuition behind transforms of the place and addresses audience questions on integral calculations and function choices.

Covers the Implicit Functions Theorem, explaining how equations can define functions implicitly.