A Survey of Central Limit Theorems in Number Theory
Explore key central limit theorems in number theory, examining their applications and implications for understanding mathematical distributions and patterns.
Moments of Artin-Schreier L-functions
Explore the mathematical intricacies of Artin-Schreier L-functions and their moments in this advanced Fields Institute lecture by Matilde Lalín from Université de Montréal.
A Simple Proof of the Wiener-Ikehara Tauberian Theorem
Explore a concise demonstration of the Wiener-Ikehara Tauberian Theorem, a fundamental result in analytic number theory with wide-ranging applications.
The Eighth and Shifted Moments of the Riemann Zeta Function
Explore advanced mathematical concepts related to the Riemann zeta function, focusing on its eighth and shifted moments in this specialized lecture by Peng-Jie Wong.
Ranks of Elliptic Curves in Cyclic Sextic Extensions of Q
Explore elliptic curve ranks in cyclic sextic extensions of Q, delving into advanced number theory concepts and their applications in algebraic geometry.
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.
The ABC Conjecture in Number Theory
Explore the ABC conjecture with insights from Prof. M. Ram Murty, presented by Hector Pasten Vasquez. Gain a deeper understanding of this fundamental mathematical concept.
On Binomial Binary Forms in Number Theory
Explore binomial binary forms with Michel Waldschmidt from Sorbonne Université, delving into advanced mathematical concepts and their applications in number theory.
Hypergeometric Functions, Galois Representations, and Modular Forms
Explore connections between hypergeometric functions, Galois representations, and modular forms in advanced number theory and algebraic geometry.
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.
Equidistribution of Polynomial Sequences in Function Fields
Explore equidistribution of polynomial sequences in function fields, examining mathematical concepts and their applications in number theory and algebraic geometry.
Pairwise Coprime Integers in Short Sequences with Polynomial Growth
Explore pairwise coprime integers in short sequences with polynomial growth, delving into advanced mathematical concepts and their applications.
Artin's Primitive Root Conjecture
Explore Artin's primitive root conjecture with Kumar Murty, delving into its mathematical significance and implications for number theory and algebraic structures.
Theory-Oriented Mathematics in Modern Research
Explore theory-oriented mathematics with Juan Meleiro in this insightful seminar, delving into advanced concepts and their applications in modern mathematical research.
Towards the Classification of MVSPs over Finite Fields
Explore the classification of MVSPs over finite fields in this mathematical talk by Lucas Reis, delving into advanced algebraic concepts and their applications.
Explicit Constructions of Short Virtual Resolutions
Explore explicit constructions of short virtual resolutions in algebraic geometry, focusing on innovative techniques and their applications in mathematical research.
Building Measure Theory Using Hierarchy Builder
Explore the Hierarchy Builder DSL for Coq and its application in constructing measure theory and Lebesgue measure, with insights for potential adaptations to other proof assistants.
Towards a Formalized Proof of Carleson's Theorem
Explores formalizing Carleson's theorem on Fourier series convergence, discussing its significance, challenges, and recent generalizations in metric spaces using the Lean theorem prover.
Dispelling Limit Confusions in Pure Mathematics - Three Types of Series Limits
Clarifies misconceptions about limits in mathematics, exploring three types of limiting behavior in infinite series and the Cauchy condition's role in analysis.
Linear Algebra Game in Lean
Explore linear algebra concepts through interactive gameplay in Lean, enhancing mathematical understanding and problem-solving skills.
Logarithms: Applications in Mobile Technology, Pandemic Modeling, and Social Networks
Explore logarithms' relevance in modern life, from pandemic modeling to information theory and social networks. Discover their history and applications in this insightful lecture by Professor Oliver Johnson.