This article reviews motives in mathematics, highlighting their connections and implications.
― 5 min read
Mathematics - Number Theory
RSSA 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
Eisenstein series offer insights into number theory, algebra, and geometry.
― 5 min read
Examining the role of anti-cyclotomic Euler systems in number theory.
― 5 min read
A look into unique connections between points in geometry using parabolic-taxicab distance.
― 5 min read
A look into Ramanujan's impact on the study of prime numbers.
― 5 min read
Exploring connections between tame and log-étale motives in algebraic geometry.
― 5 min read
A look at the relationship between abelian surfaces and algebraic curves in mathematics.
― 5 min read
A deep dive into local systems and their connections to geometry.
― 5 min read
Exploring the ties between representations of Galois groups and algebraic groups.
― 5 min read
Explore the connections between quantum difference equations, varieties, and geometry.
― 5 min read
Exploring the behavior of comma sequences in various number systems.
― 6 min read
This paper examines the relationship between elliptic curves, torsion points, and Tamagawa numbers.
― 6 min read
This article examines the relationship between rational numbers and their perfect powers.
― 5 min read
An overview of elliptic curves and their applications in mathematics.
― 4 min read
Examining the behavior of traces from random matrices reveals fascinating patterns.
― 5 min read
Research sheds light on the behavior of L-functions and their zeros.
― 4 min read
An overview of Pell equations and their fascinating integer solutions.
― 5 min read
A look into polynomials, their roots, and dynamics in mathematics.
― 4 min read
This article examines class group ranks in cyclotomic fields using Galois cohomology.
― 4 min read
A look into how numbers can be partitioned and their significance.
― 5 min read