Latest Articles for Number Theory

Discover the significance and applications of Pythagorean triples in mathematics.

A clear overview of morphisms and sheaves and their significance in mathematics.

Exploring random matrices and their significance in complex systems across various fields.

A look into the mysterious patterns of the Collatz conjecture.

An overview of automorphic forms and their significance in number theory and beyond.

Examining class groups and their significance in quadratic fields and integer solutions.

Explore particle movement and its mathematical pathways in a structured space.

Exploring the ties between quantum systems and mathematical functions.

A study on multiplier polynomials and their impact on dynamical systems.

This study explores how twisting affects elliptic curve ranks and properties.

Exploring the connections and significance of Saito-Kurokawa lifts in mathematics.

A look into how Hausdorff dimension relates to complex dynamical systems.

This work links p-adic functions to elliptic curves and modular forms.

A look into Shimura varieties and their significance in mathematics.

A look into the counting of points in toric varieties and their properties.

Explore the role of hypergeometric functions in number theory and beyond.

A guide to the study of complex manifolds and their properties.

A look at Galois groups and their role in special groups and quadratic forms.

A look into the properties and significance of partial lattices in mathematics.

A look into Fano threefolds and their significance in algebraic geometry.

Study the interplay between Iwasawa theory and branched towers in graph theory.

Zeta elements play a crucial role in understanding elliptic curves and number theory.

An overview of compact subvarieties in moduli spaces of abelian varieties.

Exploring the significance of group representations and p-adic groups in modern mathematics.

Exploring which positive integers can be expressed as sums of powers.

Examining the concept of orthogonality in dynamical systems and its significance.

A look into low-lying zeros and their relation to prime number distribution.

This study examines methods for counting solutions of complex equations in number theory.

A look into the structure and dimensions of Witt vector affine Springer fibers.

Exploring the relationship between geometry, symmetries, and representation theory.

A guide to understanding arithmetic functions in mathematics and computer science.

An overview of generalised tori and their role in algebraic structures.

Local zeta functions connect geometry and number theory with implications in physics.

Exploring the properties and implications of dimly liftable modules in mathematics.

A study on the relationship between orders and lattices in number theory.

A look at connections in number theory through the Fontaine-Mazur conjecture.

This article discusses recent findings on character sums related to Dirichlet characters.

A look at the de Rham-Witt complex and its significance in algebraic structures.

Explore how Zeckendorf numeration relates to automata and Mahler equations.

A detailed exploration of isogeny classes in abelian varieties, focusing on the extended Lubin-Tate type.