Latest Articles for Number Theory

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.

An exploration of Fontaine-Laffaille modules and their significance in mathematics.

Eisenstein series offer insights into number theory, algebra, and geometry.

Examining the role of anti-cyclotomic Euler systems in number theory.

A study on descents, inversions, and their implications in permutations.

Exploring the role of horocycles in dynamical systems and their extreme values.

A look into Ramanujan's impact on the study of prime numbers.

A look at the relationship between abelian surfaces and algebraic curves in mathematics.

A deep dive into local systems and their connections to geometry.

Exploring the ties between representations of Galois groups and algebraic groups.

Exploring the behavior of comma sequences in various number systems.

This paper examines the relationship between elliptic curves, torsion points, and Tamagawa numbers.

This article examines the relationship between rational numbers and their perfect powers.

An overview of elliptic curves and their applications in mathematics.

A study on the unique properties of Liouville numbers using Fourier techniques.

Examining the behavior of traces from random matrices reveals fascinating patterns.

Research sheds light on the behavior of L-functions and their zeros.

An overview of Pell equations and their fascinating integer solutions.

A look into polynomials, their roots, and dynamics in mathematics.

This article examines class group ranks in cyclotomic fields using Galois cohomology.

A look into how numbers can be partitioned and their significance.

Unraveling the significance of the Riemann zeta function in number theory.

A unique perspective on the relationship between prime numbers and knots in mathematics.

Discover conditions for polynomials with roots across positive integers.

A look into the relationship between GCDs and Lucas sequences.

Examining the connection between hypergeometric functions and modular forms in mathematics.

Exploring the connections between generic motives and motivic cohomology in mathematics.

Explore how some numbers can be better approximated by rationals.

New estimates improve understanding of the Möbius function and its role in number theory.

This article explores how finite groups relate to symmetric groups through normalizer quotients.

Researching how number fields relate to Galois groups and elliptic curves.

A look into modular polynomials and their role in elliptic curves and cryptography.