Concept
Local zeta function
Related lectures (11)
Riemann Zeta Function
Explores the Riemann zeta function, its properties, applications, and analogies in number theory and algebraic geometry.
Riemann Zeta Function
Covers the definition and properties of the Riemann Zeta function, including convergence and singularities.
Prime Number Theorem
Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.
DVR and Irreducible Plane Curves
Explores Discrete Valuation Rings and their role in irreducible plane curves.
Stirling's Formula and Functional Equation for Zeta
Covers the proof of Stirling's asymptotic formula for the Gamma function and the functional equation of the Zeta function.
Dirichlet Series: Analytic and Algebraic Properties
Explores the analytic and algebraic properties of Dirichlet series associated with arithmetic functions.
Hoeffding's Inequality: Binomial Distribution
Explores Hoeffding's inequality and the binomial distribution, focusing on error minimization and generalization gaps in predictor selection.