Latest Articles for Number Theory

This article explores modular functions and their relationship to algebraic numbers through Witt vectors.

A deeper look into descent methods and their implications in algebraic geometry.

Explore the relationship between monoids and their congruence spaces in mathematics.

An overview of Shanks' conjecture and its implications in mathematics.

Learn how multiplication transducers simplify calculations in various bases.

A discussion on methods for counting solutions to bihomogeneous equations.

A look into skew braces and their complex interactions.

Exploring the role of bounded reduction in understanding Chevalley groups.

Explore the role and properties of quasimodular forms in mathematics.

An overview of Milnor-Witt K-theory and its mathematical implications.

A discussion on symmetric polynomials and their role in fields with positive characteristics.

A look at homogeneous forms and their importance in mathematics.

Exploring curves formed by the Riemann zeta-function and their mathematical implications.

A look at how Arakelov divisors connect algebra and geometry.

A look into the role of abelian varieties in modern mathematics.

Explore the significance of dilogarithm, trilogarithm, and polylogarithm in mathematical problem-solving.

A look at elliptic curves and their significance in mathematics and cryptography.

A look into the connections of mathematics and physics through inter-universal Teichmuller Theory.

Learn how to compute properties of constructible sheaves using étale cohomology.

A look into how representation theory connects various mathematical fields.

Exploring the significance and properties of half-integral weight modular forms in number theory.

An analysis of rational points on geometric varieties.

An analysis of canonical coordinates and their integrality in differential equations.

Explore the grading aspects of affine Weyl semi-groups in algebra and geometry.

A look into integer solutions of Diophantine equations and perfect powers.

A study on operators in the context of Dirichlet series and their properties.

This article explores the role of affine Deligne-Lusztig varieties in algebraic geometry.

A look into Luroth series, their representations, and mathematical significance.

Harder's conjecture links modular forms and number theory through Hecke eigenforms.

Elliptic curves play a key role in number theory and cryptography.

A study of Hurwitz continued fractions and their significance in approximating complex numbers.

This study looks at the behavior of multiplicative functions and their values.

Exploring connections in algebra and geometry via Hurwitz spaces.

Exploring the methods and patterns of Egyptian fractions in mathematics.

Explore the role of polynomial factorization in finite fields and its applications.

Exploring the properties and implications of sum-free sets in number theory.

Discover the relationships among ordinary elliptic curves through isogeny graphs.

A look into quartic Gauss sums and their significance in number theory.

New approaches to solving Thue equations expand the understanding of number theory.

Explore the significance and applications of twisted divisor sums in number theory.