Latest Articles for Number Theory

Exploring polynomial sequences and their significance in combinatorial number theory.

This article reviews the complement of the skeleton in higher dimensional Berkovich spaces.

Exploring the connections between composite numbers through coprimality and network structures.

A look into the significance of the second coefficient in Hecke polynomials.

This article explores elliptic curves and the famous Birch and Swinnerton-Dyer conjecture.

This study focuses on the behavior of Hecke polynomials and their coefficients.

This study examines the conjugate equation and its solutions in mathematical contexts.

Exploring the enduring mystery of Goldbach's Conjecture and its implications in mathematics.

Explore the connections between Whittaker-Fourier coefficients and Petersson inner products in number theory.

Exploring the interplay between elliptic curves and Galois representations in number theory.

This article explores surjective Galois representations linked to Drinfeld modules and elliptic curves.

An exploration of cusp forms through their Fourier coefficients and recent research findings.

This article presents a new weighted approach to the Trollope-Delange formula.

Exploring the connection between covering systems and polynomial rings over finite fields.

Research advances in identifying zeros of cosine polynomials.

Explore the world of integer partitions and their significance in mathematics.

Explores the connection between elliptic curves and the distribution of prime numbers.

Examining the behavior of characteristic polynomials in random unitary matrices.

This article reviews motives in mathematics, highlighting their connections and implications.

This article investigates how to find integer solutions on cubic surfaces.

Examining polynomial inequalities related to prime number behavior.

Explore the links between chaos, geometry, and prime numbers.

Examining the relationship between elliptic curves and Watkins's conjecture offers new insights.

A look into Galois scaffolds and their impact on local fields.

A deep dive into elliptic curves and the significance of Hessian transformations.

An overview of modular curves and their relationships with various mathematical concepts.

A flexible approach to understanding irregular sequence behaviors in mathematics.

Research highlights connections of cusp forms without complex multiplication and modular forms.

Explore the role and applications of finite trigonometric sums across various fields.

Exploring ergodic endomorphisms and their significance in mathematics.

Explores relationships in abelian schemes and their implications in mathematics.

This article explores the link between binary palindromes and the Collatz sequences.

A deep dive into sums of squares and Pythagoras numbers in mathematics.

Discover the cycles and properties of Fibonacci numbers and their Pisano periods.

Exploring the Northcott property in relation to higher degree forms in mathematics.

A look at partitions, ranks, and cranks in mathematics.

Exploring the relationship between Chinburg's conjecture, Mahler measures, and Dirichlet characters.

Explore the significance and applications of rational weight modular forms in modern mathematics.

An overview of Drinfeld modular curves and their mathematical significance.

A deep dive into algebraic structures and their role in various mathematical fields.