Towards a Formulation of the Birch and Swinnerton-Dyer Conjecture for Abelian Schemes Over Varieties Over Finite Fields
Delve into advanced number theory concepts exploring the Birch and Swinnerton-Dyer conjecture's formulation for abelian schemes over finite field varieties, presented by mathematician Amilcar Pacheco.
Remarks on a Formula of Ramanujan
Delve into an advanced mathematical exploration of Ramanujan's formula through expert analysis and insights from Andrés Chirre of PUCP, examining its implications and applications in number theory.
Kloosterman Sums Over Families of Lattices
Delve into advanced mathematical concepts focusing on Kloosterman sums and their relationships with lattice families through expert analysis and theoretical exploration.
Single-valued Integrals and Modular Forms
Delve into advanced mathematical concepts exploring the relationship between single-valued integrals and modular forms, with applications in analytic number theory and complex analysis.
Multi-tilings and the Geometry of Numbers Using the Siegel-Bombieri Approach
Delve into advanced mathematical concepts of multi-tilings and number geometry through the Siegel-Bombieri approach, exploring theoretical frameworks and applications in modern number theory.
Low Lying Zeros in Families Related to Complex Multiplication Elliptic Curves
Delve into advanced number theory concepts focusing on low-lying zeros and their relationship to CM elliptic curves, exploring mathematical patterns and theoretical frameworks in this specialized mathematical domain.
Convolution of Periodic Multiplicative Functions and the Divisor Problem
Delve into advanced number theory concepts focusing on periodic multiplicative functions, their convolutions, and applications to the classical divisor problem in mathematics.
Arithmetical Exponential Sums - An Urchin Story
Delve into advanced mathematical concepts of arithmetical exponential sums through an engaging exploration of their properties, patterns, and applications in number theory.
Reversible Primes
Delve into the mathematical concept of reversible primes through an advanced number theory presentation exploring their properties, patterns, and significance in contemporary mathematical research.
On Lehmer's Problem and Hyperbolic Geometry
Delve into the fascinating connection between Lehmer's problem and hyperbolic geometry through an advanced mathematical exploration of number theory concepts and geometric principles.
Partition Regularity of Squares
Delve into advanced number theory concepts and partition regularity of squares through a mathematical exploration led by Oleksiy Klurman from the University of Bristol.
Counting and Hausdorff Measures for Integers and p-adic Integers
Delve into advanced mathematical concepts exploring counting methods and Hausdorff measures, focusing on their applications to integers and p-adic integers in number theory.
Factorizations, Elasticities and Zero-Sum Sequences
Delve into advanced number theory concepts focusing on factorizations, elasticities, and zero-sum sequences through a mathematical exploration of their properties and relationships.
The Period-Index Problem for Higher Degree Galois Cohomology Groups Over Hensel Semi-Global Fields
Delve into advanced Galois cohomology theory, exploring period-index relationships over Hensel semi-global fields and their implications for higher degree groups.
Automatic Sequences from the Point of View of Higher Order Fourier Analysis
Delve into advanced mathematical concepts exploring automatic sequences through higher order Fourier analysis, featuring insights on nilpotent structures and topological dynamics.
Conserved Quantities and Regularity in Fluid Mechanics
Explore conserved quantities and regularity in fluid mechanics, gaining insights into fundamental principles and advanced concepts in this field.
Frustrated Bearings: Exploring Minimum Energy Dissipation in Sphere Systems
Explore the fascinating world of frustrated bearings, their unique properties, and applications in physics and engineering. Discover how these systems exhibit novel states and unexpected behaviors in 2D and 3D.
Regularity of Vortex and SQG Patches - Lecture
Explore regularity of vortex and SQG patches, covering existence, global irregularity, numerical simulations, and geometric analysis in fluid dynamics.
APN and AB Power Functions in Cryptography
Explore APN and AB power functions in algebraic cryptography, focusing on their properties and applications in secure communication systems.
Vanishing of Twisted L-Functions of Elliptic Curves Over Function Fields
Explore vanishing of twisted L-functions for elliptic curves over function fields, focusing on rich characters, Honda Theory, and Legendre Theory in this advanced mathematical discussion.
Isogeny-based Cryptography on the Abelian Surface
Explore isogeny-based cryptography on abelian surfaces, delving into advanced mathematical concepts and their applications in modern cryptographic systems.