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Lecture
Number Theory: More Facts about Primes
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Related lectures (29)
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Primes and Coprime
Explores prime numbers, coprime integers, and their properties in number theory.
Complex Numbers: Gauss Numbers
Explores Gaussian integers, prime factorization, and number theory concepts related to prime numbers.
Dirichlet Characters: Definition and Properties
Explores Dirichlet characters, covering their definition, periodicity, and properties through a mock exam.
Prime Gaps and Multiplicative Sieve Inequalities
Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.
Course Overview: Teaser on Course Contents
Offers an overview of propositional and predicate logic, sets, functions, relations, algorithms, Swiss cities, sorting tables, Covid infections, poker hands, and prime numbers.
Prime Numbers and Algorithms
Covers prime numbers, primality testing algorithms, modular arithmetic, and efficient exponentiation methods.
The Riemann Hypothesis
Explores the Riemann Hypothesis, prime numbers, Zeta-function, and quantum mechanics.
Abel Summation and Prime Number Theory
Introduces the Abel summation formula and its application in establishing various equivalent formulations of the Prime Number Theory.
Prime Numbers: Deterministic Approaches
Introduces deterministic approaches to identify prime numbers and covers algorithms and modular arithmetic for prime number testing.
