An overview of arithmetic groups, their properties, and their impact across mathematics.
― 7 min read
Cutting edge science explained simply
An overview of arithmetic groups, their properties, and their impact across mathematics.
― 7 min read
A look into the Erdős problem and its modular implications.
― 5 min read
A look into the generalized Mahler measure and its mathematical significance.
― 4 min read
Examining the visual patterns and mathematical structures of Gaussian periods.
― 6 min read
Explore the significance of A-packets in representation theory and their applications across various fields.
― 5 min read
Automorphic forms offer insights into prime numbers and their distribution.
― 5 min read
An overview of Drinfeld modules and t-modules in number theory and algebra.
― 5 min read
A look at how averages of Fourier coefficients reveal insights into cusp forms.
― 5 min read
Examining how quadratic forms contribute to understanding design structures in mathematics.
― 6 min read
Research reveals insights on Selmer groups and elliptic curves through Greenberg's conjecture.
― 6 min read
Exploring the relationship between prime numbers and holomorphic newforms.
― 5 min read
This article examines conjectures in GSpin Shimura varieties through arithmetic perspectives.
― 4 min read
Explore the relationship between modular curves and their cuspidal subgroups.
― 5 min read
Zeta-functions reveal deep patterns in number theory, impacting various fields.
― 5 min read
A look into how numbers can be expressed as sums of integers.
― 5 min read
A deep dive into Markoff mod-p graphs and their implications in number theory.
― 6 min read
A closer look at the behavior of zeros in cusp forms and their significance.
― 4 min read
Exploring the role and applications of hyperelliptic curves in various fields.
― 4 min read
A look into factorization, tower heights, and prime numbers.
― 5 min read
Explore key methods in quantum mechanics to simplify complex calculations.
― 7 min read
This study improves convergence rates in Selberg's CLT by assuming the Riemann hypothesis.
― 5 min read
Explore how absolute values shape numbers and mathematical structures.
― 5 min read
Examining relationships between elliptic curves through isogeny and height constraints.
― 5 min read
An overview of abelian surfaces and their significance in mathematical research.
― 5 min read
Investigating the M obius function's independence from sequences and its implications.
― 5 min read
This article examines abelian varieties and their classification over finite fields.
― 5 min read
Examining local systems reveals deep ties between geometry and number theory.
― 5 min read
Exploring the existence of infinitely many quartic points on modular curves.
― 5 min read
A look into p-adic valuation and its representation through valuation trees.
― 6 min read
Examining how the order of number fields affects their counting and properties.
― 6 min read
Investigating the mysterious values of the Riemann zeta function at odd integers.
― 5 min read
An exploration of algebraic groups and their ties to geometry and number theory.
― 5 min read
This paper examines unique ways to express numbers using specific sequences.
― 5 min read
Explore the significance and connections of elliptic curves in mathematics.
― 5 min read
Examining the interplay between cohomology and group symmetry in algebraic curves.
― 3 min read
An overview of projective varieties and their significance in mathematics.
― 5 min read
An overview of prime numbers and their density in number sets.
― 4 min read
This article examines how quadratic forms represent integers in sequences.
― 6 min read
Exploring connections between stationary descendents and quasimodular forms in mathematics.
― 6 min read
An exploration of quadratic residues and their distribution in prime fields.
― 5 min read