Latest Articles for Mathematical Research

An overview of quasi-orthogonal polynomials and their applications in mathematics.

A look into finding rational points on hyperelliptic curves using advanced mathematical methods.

Examining class groups and their significance in quadratic fields and integer solutions.

Exploring the connections between symplectic and algebraic properties in bielliptic surfaces.

A deep dive into Markov chains and their behavior in compact spaces.

A study on hypergraphs with high girth and their link to coding theory.

An analysis of linear differential operators and their impact on polynomial roots.

A look into Fano threefolds and their significance in algebraic geometry.

A look into low-lying zeros and their relation to prime number distribution.

Examining the role of matroids in understanding convex shapes and volumes.

This article discusses recent findings on character sums related to Dirichlet characters.

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

Examining group theory connections through two-generated finite groups and their algebras.

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

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

Exploring hypertopes and their halving operation for deeper geometric insights.

A study on rational cohomology in the context of non-singular curves.

Exploring approximation of linear subspaces with rational numbers through Diophantine exponents.

A look into knot theory, focusing on properties, invariants, and torsion elements.

Exploring the patterns within locally dense graphs and their implications.

A look into rationality problems in algebraic geometry and new methods being used.

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

This article reveals connections in the Poisson-Neumann problem and its implications.

Exploring K-moduli's role in log del Pezzo pairs and their stability.

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

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

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

An overview of Schubert varieties, focusing on smoothness and singularity.

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.

Exploring the relationship between graph coloring and symmetric functions.

Exploring polynomial sequences and their significance in combinatorial number theory.

Examining the role of Hodge-Lyubeznik numbers in algebraic geometry and singularities.

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

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

This article explores the significance of coherent sheaves in the study of geometry.

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

Research advances in identifying zeros of cosine polynomials.

A study on linear maps that maintain positivity in non-negative functions and sequences.

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