Latest Articles for Number Theory

Understanding sphere arrangements and their mathematical implications in higher dimensions.

Exploring the limitations of the quadratrix in achieving circle squaring.

Explore the interactions between Galois representations and modular forms in number theory.

Exploring the significance of del Pezzo surfaces in mathematics and rational points.

Exploring the connection between Iwahori groups and symmetric spaces in mathematics.

A study of tropical curves and their unibranch points in geometry.

This paper explores extending Euler products using the Factorization Method.

Explore the significance of modular curves and the concept of gonality in mathematics.

Exploring how polynomials can produce small fractional parts through careful evaluation.

This article explores the properties and significance of the Ceresa normal function's torsion locus.

A look at the significance and properties of Siegel cusp forms.

A look at the concepts of probability and number approximations.

Exploring the connections between Diophantine approximation, closed subschemes, and integral points.

A look into higher-rank graphs and their significance in mathematics.

Explore lattice spectra, their types, and significance in number theory and beyond.

A look into modular forms and their significance in number theory.

An overview of recent findings in monogenity within algebraic number theory.

Exploring the relationship between Mordell equations and elliptic curves in number theory.

A study of how integer points relate to smooth curves in mathematics.

An overview of cohomology and its implications for algebraic groups over local fields.

Explore the connections between Rankin-Selberg theory and modular forms in mathematics.

Explore the significance of Hecke algebras in studying algebraic groups and their representations.

Explore cancellation properties of orders in number fields and semisimple algebras.

An overview of triple symbols and their importance in number theory and algebra.

A look into the connections between number theory concepts.

An overview of Drinfeld modular forms and their interaction with Hecke operators.

Examining relationships between Drinfeld modular forms and key mathematical concepts.

A look into continued fractions and their significance in mathematics.

Explore the properties and significance of elliptic surfaces in mathematics.

A study of places on the projective line and efficient algorithms for enumeration.

Exploring the puzzling distribution and randomness of prime numbers.

A look into the challenges of approximating real numbers with fractions.

Exploring the connections between cusp forms, their zeros, and random matrix theory.

This article explores Ramanujan's inequality related to prime numbers and its implications.

This article explores the properties and applications of unipotent numerical monoids.

Explore the connection between Borcherds products and modular forms.

A look into the properties and arrangements of two-dimensional integral point sets.

A look into partitions, ranks, and new mathematical tools.

An overview of key algebraic structures and their properties.

An overview of curves, Jacobians, and finite groups in mathematics.