Latest Articles for Polynomials

This article examines how quadratic forms represent integers in sequences.

Exploring square-free values generated by polynomials and their significance in number theory.

A deep dive into Diophantine equations and their connections to number sequences.

Exploring the behavior of lattice points in various geometric shapes.

A look into the study of polynomials and their fractional powers.

Explore how quadratic reciprocity connects primes and squares in number theory.

Examining Eulerian polynomials and their significance in directed graphs and combinatorics.

An overview of spreads and their classification under cyclic group actions.

A look at Chebyshev's method and its dynamics in finding quartic polynomial roots.

An exploration of Julia sets, laminations, and their dynamic interactions.

A look into the Mahler measure and its significance in mathematics.

This article discusses new methods in motivic measures for algebraic varieties.

Learn about Bernstein-Sato polynomials and their significance in mathematics.

Explore the connections between Belyi maps and hypergeometric polynomials in algebraic geometry.

A look into T-systems and their role in mathematical functions and approximation.

Explore the fascinating world of permutahedra and its connections to combinatorial mathematics.

A study on multiplier polynomials and their impact on dynamical systems.

A study of polytopes formed from multipartite graphs and their properties.

A look into the conjecture linking motivic cohomology with the polylogarithmic complex.

This article looks into the impact of corners on Bergman polynomials in complex domains.

Explore the significance of graph polynomials in mathematics and computer science.

This article presents a topological method for understanding the HOMFLY-PT polynomial in knot theory.

An overview of binary forms and their significance in mathematics.

Examining properties and applications of Lorentzian polynomials in mathematics.

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

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

A study of how integer points relate to smooth curves in mathematics.

A look into the structure and importance of posets in mathematics.

Research reveals insights into integer patterns using polynomial functions.

A look into minimal cubature rules for accurate numerical integration.

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

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

A look into the distribution and importance of polynomial zeros.

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

Examining polynomial inequalities related to prime number behavior.

A look into the relationship between polynomials and their derivatives within convex shapes.

Examining the connections between sum of squares polynomials and their properties in mathematics.

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

Exploring concepts of number approximation in mathematical systems and their relationships.

An overview of the complexities in ideal membership within mathematical rings.