Skip to main content
Graph
Search
fr
en
Login
Search
All
Categories
Concepts
Courses
Lectures
MOOCs
People
Quizes
Exercises
Publications
Startups
Units
Show all results for
Home
Concept
Hurwitz zeta function
Graph Chatbot
Related lectures (22)
Login to filter by course
Login to filter by course
Reset
Approximation of Zeta Function
Explores the approximation of the zeta function using compact functions and spectral decomposition.
Quantum Harmonic Oscillator: Path Integral Description
Explores the path integral description of the quantum harmonic oscillator and its connection to prime numbers and the Riemann Zeta-function.
The Riemann Hypothesis
Explores the Riemann Hypothesis, prime numbers, Zeta-function, and quantum mechanics.
Modular Curves: Genus and Mapping Theorems
Explores holomorphic maps, ramification points, and the genus of a modular curve.
Local Homeomorphisms and Coverings
Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Conductor of X: Waldsparger Formula and Subconvexity Bound
Covers the equidistribution of representations of integers by ternary forms and the conductor of X.
Riemann Zeta Function
Log in to Mediaspace to watch this video
Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.
Riemann Zeta Function
Log in to Mediaspace to watch this video
Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.
Convergence of Parametrized Series
Log in to Mediaspace to watch this video
Explores the convergence of a series parameterized by alpha and its conditions for convergence.
Logarithmic Derivative of Zeta
Log in to Mediaspace to watch this video
Explores the logarithmic derivative of the Zeta function using the Hadamard factorization.
Logarithmic Derivative of Zeta
Log in to Mediaspace to watch this video
Explores the behavior of the zeta function and its explicit formula.
Functional Equation of Zeta and Hadamard Products
Log in to Mediaspace to watch this video
Covers the functional equation of the Zeta function and the Hadamard factorization theorem.
Hadamard Factorization and Zeros of Zeta
Log in to Mediaspace to watch this video
Completes the proof of Hadamard Factorization and uses it to derive an expression for the zeta function in terms of its zeros.
Proof of Explicit Formula
Log in to Mediaspace to watch this video
Covers the proof of the explicit formula for the non-vanishing of the zeta function at the 1-line.
Prime Number Theorem
Log in to Mediaspace to watch this video
Explores the proof of the Prime Number Theorem and its implications in number theory.
Prime Number Theorem
Log in to Mediaspace to watch this video
Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.
Dirichlet Series: Analytic and Algebraic Properties
Log in to Mediaspace to watch this video
Explores the analytic and algebraic properties of Dirichlet series associated with arithmetic functions.
Classical Zero Free Region for Zeta and Explicit Formula I
Log in to Mediaspace to watch this video
Establishes the classical zero free region for the Zeta function and starts the proof of the explicit formula for
ψ
(
x
)
\psi(x)
ψ
(
x
)
.
Functional Equation of Zeta
Log in to Mediaspace to watch this video
Covers the functional equation of zeta function and Jensen's formula in complex analysis.
Stirling's Formula and Functional Equation for Zeta
Log in to Mediaspace to watch this video
Covers the proof of Stirling's asymptotic formula for the Gamma function and the functional equation of the Zeta function.
Previous
Page 1 of 2
Next
