Latest Articles for Number Theory

An overview of Heegner points, classes, and their relevance in modern mathematics.

This study examines the number of rational points on algebraic curves based on height.

A look into integral points and the weak Hilbert property in varieties.

Explore the unique properties and applications of elliptic surfaces in mathematics.

A look into hyperelliptic curves, Jacobians, and their real-world applications.

Explore the role of Galois extensions in mathematics and their practical applications.

Explore the significance of twisted rational zeros in linear recurrence sequences.

This article examines the behavior of sections in abelian varieties and their finite translation orbits.

A look into Artin-Schreier curves and their significance in mathematics.

A study on intersection points of lines in del Pezzo surfaces of degree 1.

This paper examines L-values of elliptic curves twisted by cubic characters.

An overview of smooth representations and their connection to integral structures.

Exploring the significance of entire functions and weight classes in mathematics.

Exploring the role of sheaves and p-adic numbers in number theory.

Exploring how elliptic curve ranks behave under specific extensions.

This article discusses Iwasawa invariants in Hida families and their connections to modular forms.

A look into modular curves and Coleman integrals in number theory.

Research reveals faster methods for finding Carmichael numbers, crucial for number theory.

Explore the intriguing rules behind comma sequences and their unique outcomes.

Exploring the relationships between wheel graphs, integrals, and various mathematical theories.

An exploration of Fujita approximation within the context of adelic curves.

A new method significantly improves the enumeration of hyperelliptic curves over finite fields.

An overview of interpolation sets and their impact on dynamical systems.

Examining connections between random matrices and number theory through L-functions.

This article examines how missing numbers affect sumsets in random collections.

Explore the ties between toric cycles and modular forms in modern mathematics.

An overview of explicit cocycles and their significance in mathematics.

An exploration of relationships between automorphic forms and their dual properties.

Explore the unique properties and applications of continued fractions in mathematics.

Dive into the connections between distributions, lattices, and number theory.

Examining how group properties hold steady as they grow.

Exploring the significance of random matrices in science and mathematics.

Exploring the stability of elliptic curves and Selmer groups in number fields.

A study on the fourth moment of quadratic Dirichlet functions and its implications.

Exploring the role of class numbers in mathematical research and theory development.

Examining new developments in the Ratios Conjecture and L-functions in number theory.

This article highlights the significance of complex hyperbolic lattices in mathematics.

Research reveals new methods for estimating errors in abelian extensions of number fields.

A new method to find equations for complex genus 4 curves in mathematics.

Discover the significance of Mumford curves in algebraic geometry and number theory.