Algebraic number theory

Related lectures (29)

Problem-solving Strategies: Sum of N Integers (Recursive)

Covers the recursive algorithm for calculating the sum of the first N integers.

Integers and Rings Log in to Mediaspace to watch this video

Covers integers, rings, subrings, invertibility, divisors of zero, and equivalence relations in formal fractions.

Shor's algorithm: factoring integers Log in to Mediaspace to watch this video

Covers the basics of Shor's algorithm for factoring integers and the steps involved in the quantum algorithm.

Functions and Integers Log in to Mediaspace to watch this video

Covers functions, integers, GCD, and reasoning by recurrence, including the Euclidean algorithm and induction principle.

Integers: Sets, Maps, and Principles Log in to Mediaspace to watch this video

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Fermat's Equation: Integral Solutions and Gaussian Integers Log in to Mediaspace to watch this video

Discusses Fermat's equation and Gaussian integers' properties.

Linear Algebra: Integers Log in to Mediaspace to watch this video

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.

Closure Conversion: Representation and Transformation Log in to Mediaspace to watch this video

Explores the representation and transformation of values, focusing on closure conversion and the challenges of representing functions in functional languages.

Shor's factoring algorithm: Quantum Phase Estimation Log in to Mediaspace to watch this video

Covers Shor's factoring algorithm and the link between order finding and factoring.