A look at partitions, ranks, and cranks in mathematics.
― 4 min read
Mathematics - Number Theory
RSSExploring 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
Unraveling the significance of the Riemann zeta function in number theory.
― 6 min read
A unique perspective on the relationship between prime numbers and knots in mathematics.
― 5 min read
Discover conditions for polynomials with roots across positive integers.
― 5 min read
A look into the relationship between GCDs and Lucas sequences.
― 5 min read
Examining the connection between hypergeometric functions and modular forms in mathematics.
― 6 min read
Examining a Markov chain on finite abelian groups linked to the Cohen-Lenstra distribution.
― 6 min read
Explore how some numbers can be better approximated by rationals.
― 7 min read
New estimates improve understanding of the Möbius function and its role in number theory.
― 4 min read
Researching how number fields relate to Galois groups and elliptic curves.
― 6 min read
A look into modular polynomials and their role in elliptic curves and cryptography.
― 5 min read
Study reveals the integral Hasse principle's reliability in specific mathematical surfaces.
― 4 min read
A look into the structures of number fields and their class groups.
― 5 min read
Exploring the patterns and properties of binomial coefficients and their significance.
― 5 min read
Exploring the connections between elliptic curves and number theory.
― 5 min read
An overview of mixed Tate motives and their significance in number theory.
― 5 min read