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Prime-counting function
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Related lectures (12)
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Prime Gaps and Multiplicative Sieve Inequalities
Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.
The Pigeonhole Principle: Basics and Applications
Covers the Pigeonhole Principle, its applications, and examples of its guarantees.
Dirichlet Series: Analytic and Algebraic Properties
Explores the analytic and algebraic properties of Dirichlet series associated with arithmetic functions.
Prime Number Theorem
Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.
Hamiltonian Formalism: Conservation Laws
Explores the Hamiltonian formalism, conservation laws, preserved quantities, and differential equations in classical physics.
The Riemann Hypothesis
Explores the Riemann Hypothesis, prime numbers, Zeta-function, and quantum mechanics.
Untitled
Untitled
Diagonalisation of Moment of Inertia
Explores diagonalization of moment of inertia and principal directions in orthonormal base vectors.
Counting with Recurrence Relations: Summary
Explores counting with recurrence relations, linear recurrence relations, generating functions, and counting principles.
Setting up arithmetic
Explores defining arithmetic operations through counting, with insights on cardinal numbers, Cantor's work, and Sudoku.
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.
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