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Chebyshev function
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Related lectures (10)
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The Pigeonhole Principle: Basics and Applications
Covers the Pigeonhole Principle, its applications, and examples of its guarantees.
Meromorphic Functions & Differentials
Explores meromorphic functions, poles, residues, orders, divisors, and the Riemann-Roch theorem.
Dirichlet Series: Analytic and Algebraic Properties
Explores the analytic and algebraic properties of Dirichlet series associated with arithmetic functions.
Abel Summation: Analyzing Logarithmic Functions
Explores Abel summation formula, Chebyshev's theorem, and logarithmic functions with practical examples.
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 Gaps and Multiplicative Sieve Inequalities
Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.
Prime Number Theorem
Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.
Asymptotic States and S-matrix: Operators
Explores asymptotic states, S-matrix, and operators in quantum field theory, emphasizing the role of discrete symmetries and complete sets of states.
Newton's Method: Order 2
Explains Newton's method of order 2 for finding function zeros.
Fixed Point Methods: Non-linear Equations
Covers fixed point methods for finding zeros of non-linear equations.
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