Quantum Unique Ergodicity for Powerful Level via Shifted Convolution Sum
Explore advanced mathematical concepts in number theory, focusing on QUE for powerful levels using shifted convolution sum techniques.
One-level Densities in Families of Grossencharakters Associated to CM Elliptic Curves
Explore one-level densities in Grossencharakters families linked to CM elliptic curves, delving into advanced number theory concepts and their applications.
Analytic Number Theory and Automorphic Forms
Explore advanced concepts in analytic number theory and automorphic forms with insights from a renowned expert in the field.
Multiplicative Functions and Dirichlet Series via Boxes - Math Foundations 242
Explore multiplicative functions and Dirichlet series using the Fundamental Identity of Arithmetic. Discover interesting mathematical identities and their connections to analytic number theory.
Computational Number Theory in the Modern World
Explore modern computational number theory, covering primes, factorization, divisibility, congruence, and advanced topics like analytic and additive number theory.
Euler Product Formula - A Beautiful Equation in Number Theory
Discover the beauty of the Euler Product Formula, connecting sums over natural numbers to products over primes. Explore its proof, applications, and links to the Riemann Hypothesis.
Subconvexity of L-functions - Part 3
Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.
Subconvexity of L-functions - Part 1
Explore advanced concepts in analytic number theory, focusing on subconvexity bounds for L-functions and their applications in mathematics.
Subconvexity of L-functions - Part 4
Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.
Zeta Functions for Anosov Diffeomorphisms, Flows and Actions
Explore analytic techniques in dynamics and geometry, focusing on zeta functions for Anosov diffeomorphisms, flows, and actions.
Analytic Methods in Arithmetic
Explore advanced analytic techniques in arithmetic, focusing on their applications and theoretical foundations in number theory.
Sums of the Divisor Function and Random Matrix Distributions - Lecture
Explore divisor function behavior, distribution strategies, and connections to Riemann zeta function and random matrix groups in number theory.
The Magic of the Primes
Explore the fascinating world of prime numbers, their importance in mathematics and real-world applications, and recent progress on ancient mathematical questions.
What is an L-function? - An Introduction to Zeta and L-functions in Number Theory
Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.
Eisenstein Series - An Overview
Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.
Branching Processes in Random Matrix Theory and Analytic Number Theory
Explore branching processes in random matrix theory and analytic number theory, focusing on limiting distributions, log-correlated phenomena, and recent conjectures about maxima of characteristic polynomials and L-functions.
Weyl-Strength Subconvexity for Dirichlet L-Functions
Explore Weyl-strength subconvexity for Dirichlet L-functions, examining the subconvexity problem and progress on obtaining the Weyl exponent via the method of moments.
Asymptotic Orthogonality Relation for GL(n,R) - ICBS 2024
Explore generalized Dirichlet character orthogonality for GL(n,R), extending classical number theory to higher dimensions with applications.
Large Values of Zeta and Dirichlet L-Functions - ICBS 2024
Explore large values of Riemann zeta and Dirichlet L-functions on the critical line, uncovering key insights in analytic number theory.
Diophantine Equations and Discrete Harmonic Analysis - Part 3
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
Diophantine Equations and Discrete Harmonic Analysis - Part 4
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.