Latest Articles for Number Theory

An overview of line bundles and their significance in geometry and algebra.

Explore the significance of Lambert series in understanding divisors and primes.

Learn about normal polynomials, their properties, and applications in mathematics.

This paper examines the convergence of multiplicative function averages over Gaussian integers.

A look into class groups and torsion in number fields.

An overview of non-Archimedean valued fields and their significance in mathematics.

A look into integer partitions, strict partitions, and their properties.

An exploration of translation-dilation groups within number theory and algebraic geometry.

A look into the intriguing challenges of the Collatz and Syracuse Conjectures.

Exploring the significance of L-values and Bessel periods in mathematics.

Exploring the connections between elliptic curves, surfaces, and their distributions.

Learn about irreducible polynomials and their importance in various fields.

This article examines key aspects of Shimura varieties and their special fibers.

A detailed look at automorphic functions and their role in number theory.

Examining behaviors of dynamic systems linked to Riemann zeta function zeros.

An examination of the interaction between number fields and group theory extensions.

Examining cyclic covers enhances our grasp of curves and their properties.

Exploring real quadratic fields and their connections to elliptic curves and modular forms.

Exploring the relationship between -adic modular forms and the Heisenberg algebra.

A look at how residues behave within Pascal's Triangle under prime conditions.

Explore the fascinating reversed version of the Zeckendorf game.

Exploring how sequences can approximate numbers within number theory.

Exploring the relationships between integer partitions and hypergraphs.

This article explores twisted differential operators and their role in advanced calculus.

A look into the interplay between automorphisms and abelian varieties in mathematics.

A deep dive into the role of symmetric functions over finite fields.

A study on the moments of L-functions and their connection to modular forms.

This paper investigates the counting of rational points on mathematical stacks.

Study shows special linear groups as Galois groups over odd order finite fields.

Examine the properties of cusp forms and their successive minima.

Discover the role of the Mellin transform in studying various series in mathematics.

Exploring the connections between power series and their mathematical implications.

An overview of p-adic numbers and their role in number theory.

An overview of modular forms and their significance in number theory.

A look into the Mahler measure and its significance in mathematics.

An exploration of non-abelian descent types and their significance in arithmetic geometry.

A new algorithm tests the connectivity of the Markoff graph modulo a prime.

Explore motivic cycles, degree two surfaces, and their connections to rational curves.

Exploring cut-and-project sets and their role in understanding aperiodic structures.

An overview of Hilbert modular forms and their impact on number theory.