Latest Articles for Number Theory

Exploring the complexities of number fields and their extensions in mathematics.

Using finite automata to compute digits of irrational numbers like the golden ratio.

Explore how zeta functions interact with number theory and algebraic structures.

Exploring the unique properties of banana nano-manifolds in geometry and number theory.

An analysis of mathematical structures connecting abelian varieties and their properties.

This research establishes lower bounds for rational points on cubic hypersurfaces.

A look into the significance and properties of holomorphic newforms.

Examining the Riemann hypothesis through advanced root-finding techniques.

Exploring renewal processes and their connection to natural numbers and prime distribution.

Exploring the relationship between cubic shapes and rational solutions in mathematics.

A look into the mathematical structure of adic spaces and their significance.

A look into the significance of étale motives of geometric origin in mathematics.

A look at how elliptic curves interact with imaginary quadratic fields in number theory.

An overview of binary forms and their significance in mathematics.

Explore the roles of Farey maps and continued fractions in number theory.

A look into Freiman's Theorem and its applications to function fields.

Explore the nature and significance of automatic sequences in mathematics.

Examining integral models reveals connections in modern mathematics.

Exploring the world of overpartitions and their mathematical significance.

An exploration of the significant attempts to prove the Riemann Hypothesis.

A deep look at the Riemann Hypothesis and its significance in mathematics.

Exploring new approaches for finding integral bases in number fields.

Exploring new findings on the Riemann zeta function and its zeros.

Research reveals counterexamples challenging the -adic Littlewood Conjecture and its implications.

Exploring the intricate relationships within modular curves and their mathematical significance.

Explore the unique connections between the Monster group and various branches of mathematics.

This article investigates integral behavior related to the Riemann zeta function.

This article explores the characteristics of cohomology groups in algebraic structures.

Exploring the impact of Maass cusp forms in number theory and analysis.

An overview of module theory and its applications in semirings.

This article explores the adèle ring's role in number theory and its applications.

Exploring the structures and dimensions of Lagrange and Markov spectra in number theory.

Exploring key properties and implications of Dirichlet functions in number theory.

Explore the Uniform Izumi-Rees Property and its impact on ideals in Noetherian rings.

A study of elliptic curves and their links to Hilbert's tenth problem in number theory.

Exploring elliptic curves and their significant role in mathematics.

A study on Galois extensions and their discriminants in number theory.

Explore the history and techniques of solving Diophantine equations.

Research into elliptic functions reveals new insights in number theory and algebra.

Fano surfaces link geometry, algebra, and number theory in complex yet fascinating ways.