Research reveals insights into integer patterns using polynomial functions.
― 4 min read
Mathematics - Number Theory
RSSExploring polynomial sequences and their significance in combinatorial number theory.
― 4 min read
A look into the significance of the second coefficient in Hecke polynomials.
― 4 min read
This article explores elliptic curves and the famous Birch and Swinnerton-Dyer conjecture.
― 5 min read
Examining integral solutions and counting methods for quaternion equations.
― 3 min read
This study focuses on the behavior of Hecke polynomials and their coefficients.
― 5 min read
Exploring the enduring mystery of Goldbach's Conjecture and its implications in mathematics.
― 5 min read
Explore the connections between Whittaker-Fourier coefficients and Petersson inner products in number theory.
― 5 min read
Analyzing BV functions using the Fourier transform reveals critical mathematical insights.
― 5 min read
Exploring the interplay between elliptic curves and Galois representations in number theory.
― 6 min read
This article explores surjective Galois representations linked to Drinfeld modules and elliptic curves.
― 6 min read
A look into the distribution and importance of polynomial zeros.
― 5 min read
An exploration of cusp forms through their Fourier coefficients and recent research findings.
― 4 min read
This article presents a new weighted approach to the Trollope-Delange formula.
― 5 min read
Exploring the connection between covering systems and polynomial rings over finite fields.
― 4 min read
An overview of the depth-Bernstein center's role in group representations.
― 5 min read
Research advances in identifying zeros of cosine polynomials.
― 5 min read
Explores the connection between elliptic curves and the distribution of prime numbers.
― 5 min read
Examining the behavior of characteristic polynomials in random unitary matrices.
― 5 min read
This article reviews motives in mathematics, highlighting their connections and implications.
― 5 min read
A structured method for analyzing polynomial sequences and their relationships.
― 6 min read
This article investigates how to find integer solutions on cubic surfaces.
― 6 min read
Examining the relationship between elliptic curves and Watkins's conjecture offers new insights.
― 5 min read
A look into Galois scaffolds and their impact on local fields.
― 4 min read
A deep dive into elliptic curves and the significance of Hessian transformations.
― 5 min read
An overview of modular curves and their relationships with various mathematical concepts.
― 6 min read
Explores the concept of overlapping substitutions in mathematical tiling patterns.
― 5 min read
Research highlights connections of cusp forms without complex multiplication and modular forms.
― 5 min read
Explore the role and applications of finite trigonometric sums across various fields.
― 6 min read
An overview of transfer operators and their impact on representation theory.
― 5 min read
Explores relationships in abelian schemes and their implications in mathematics.
― 5 min read
Explore the structure and properties of triangle groups in mathematics.
― 5 min read
Discover the cycles and properties of Fibonacci numbers and their Pisano periods.
― 5 min read
Exploring the Northcott property in relation to higher degree forms in mathematics.
― 4 min read
A look at partitions, ranks, and cranks in mathematics.
― 4 min read
Exploring the relationship between Chinburg's conjecture, Mahler measures, and Dirichlet characters.
― 4 min read
Explore the significance and applications of rational weight modular forms in modern mathematics.
― 5 min read
An overview of Drinfeld modular curves and their mathematical significance.
― 6 min read
Exploring concepts of number approximation in mathematical systems and their relationships.
― 5 min read
An exploration of Fontaine-Laffaille modules and their significance in mathematics.
― 6 min read