Concept

Quadratic residue

Related lectures (31)

Explores RSA cryptography, covering primality testing, quadratic residues, and cryptographic applications.

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Covers the concept of analytic continuation and the application of the Residue Theorem to solve for functions.

Covers the Laplace transform, its properties, and the concept of analytic continuation.

Covers optimization methods without constraints, including gradient and line search in the quadratic case.

Covers the Quadratic Sieve method for integer factorization, emphasizing the importance of choosing the right parameters for efficient factorization.

Explores Green functions, complex analysis, and electrostatics, including EM waves and residue theorem.

Explores applications of the residues theorem in various scenarios, with a focus on Laurent series development.

Covers the calculation of residues, types of singularities, and applications of the residue theorem in complex analysis.

Explores the Residues Theorem and the classification of holomorphic functions.

Covers the residue theorem, Cauchy's integral formula, and their applications in complex analysis.

Covers EM fields of moving charged particles and Green functions.

Explores Legendre and Jacobi symbols, quadratic residuosity, element orders, and RSA Cryptography complexities.

Covers the factorization of polynomials with complex coefficients and diagonalizability of matrices.

Covers the basic functions of quadratic and biquadratic rectangular elements and the serendipal family of regular rectangular finite elements.

Explores quadrangular finite elements, node numbering, and application examples.

Discusses Laurent series and the residue theorem in complex analysis, providing examples and applications for evaluating complex integrals.

Covers the analysis of poles and residues in complex functions, focusing on the calculation of singularities, poles, and residues.

Explores the decomposition of a function into simple and quadratic factors.

Covers the topology of Adeles and their relationship with quadratic forms, polynomial varieties, and finiteness properties.