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Related lectures (28)

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Multicorrelation Sequences and Primes

Explores multicorrelation sequences, primes, and their intricate connections in number theory and ergodic theory.

Prime Number Theorem

Explores the proof of the Prime Number Theorem and its implications in number theory.

Prime Number Theorem

Covers the proof of Von Mangoldt's formula and the Prime Number Theorem using Zeta functions and pole analysis.

The Riemann Hypothesis

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

Primes in Arithmetic Progression

Explores primes in arithmetic progression, focusing on L-functions, characters, and the divergence of the sum of 1 over p for p congruent to a modulo q.

Prime Gaps and Multiplicative Sieve Inequalities

Covers the Bombieri-Vinogradov theorem and its implications for prime gaps and multiplicative sieve inequalities.

Bernoulli convolutions: The dimension of Bernoulli convolutions

Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.

Shor's Factoring Algorithm

Covers Shor's factoring algorithm, aiming to find integer factors efficiently using quantum computation.

Martingales and Conditional Expectations

Explores Brun's Sieve, Martingales, and Conditional Expectations in probability theory.

Introduction to Finite Fields

Covers the basics of finite fields, including arithmetic operations and properties.