Hurwitz zeta function

Related lectures (22)

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Explores the analytic and algebraic properties of Dirichlet series associated with arithmetic functions.

Establishes the classical zero free region for the Zeta function and starts the proof of the explicit formula for

\psi(x)

Explores the approximation of the zeta function using compact functions and spectral decomposition.

Covers the functional equation of zeta function and Jensen's formula in complex analysis.

Covers the proof of Stirling's asymptotic formula for the Gamma function and the functional equation of the Zeta function.

Explores the path integral description of the quantum harmonic oscillator and its connection to prime numbers and the Riemann Zeta-function.

Explores the Riemann Hypothesis, prime numbers, Zeta-function, and quantum mechanics.

Explores holomorphic maps, ramification points, and the genus of a modular curve.

Covers the joint equidistribution of CM points and explores convergence in multiple variables.

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.