Explore how the Laplace operator reveals properties of shapes like spheres and hemispheres.
― 4 min read
Mathematics - Number Theory
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A look at connections in number theory through the Fontaine-Mazur conjecture.
― 4 min read
Exploring the properties and implications of pro-Iwahori-Hecke algebras in representation theory.
― 5 min read
This article discusses recent findings on character sums related to Dirichlet characters.
― 5 min read
A look at the de Rham-Witt complex and its significance in algebraic structures.
― 5 min read
An overview of lifting curves in algebraic geometry and their complexities.
― 7 min read
Explore how Zeckendorf numeration relates to automata and Mahler equations.
― 6 min read
A detailed exploration of isogeny classes in abelian varieties, focusing on the extended Lubin-Tate type.
― 6 min read
Exploring the complexities of number fields and their extensions in mathematics.
― 5 min read
Using finite automata to compute digits of irrational numbers like the golden ratio.
― 6 min read
An overview of higher Bessel functions and their significance in mathematics.
― 5 min read
Exploring color patterns in amenable and non-amenable groups.
― 5 min read
Explore how zeta functions interact with number theory and algebraic structures.
― 4 min read
An analysis of mathematical structures connecting abelian varieties and their properties.
― 4 min read
This research establishes lower bounds for rational points on cubic hypersurfaces.
― 5 min read
A look into the significance and properties of holomorphic newforms.
― 5 min read
Examining the Riemann hypothesis through advanced root-finding techniques.
― 4 min read
Exploring the relationship between cubic shapes and rational solutions in mathematics.
― 4 min read
A look into the mathematical structure of adic spaces and their significance.
― 5 min read
A look at how elliptic curves interact with imaginary quadratic fields in number theory.
― 6 min read
A deep look into how equality is defined and understood in math.
― 5 min read
An overview of binary forms and their significance in mathematics.
― 5 min read
Exploring the complex world of quantum difference equations and their mathematical significance.
― 4 min read
A look into Freiman's Theorem and its applications to function fields.
― 5 min read
Explore the nature and significance of automatic sequences in mathematics.
― 5 min read
Examining integral models reveals connections in modern mathematics.
― 6 min read
Exploring the world of overpartitions and their mathematical significance.
― 5 min read
An exploration of the significant attempts to prove the Riemann Hypothesis.
― 5 min read
Exploring new approaches for finding integral bases in number fields.
― 6 min read
Research reveals counterexamples challenging the -adic Littlewood Conjecture and its implications.
― 6 min read
Exploring the intricate relationships within modular curves and their mathematical significance.
― 5 min read
This article investigates integral behavior related to the Riemann zeta function.
― 4 min read
This article explores the characteristics of cohomology groups in algebraic structures.
― 5 min read
Exploring the impact of Maass cusp forms in number theory and analysis.
― 7 min read
This article explores the adèle ring's role in number theory and its applications.
― 6 min read
Exploring the structures and dimensions of Lagrange and Markov spectra in number theory.
― 4 min read
Exploring key properties and implications of Dirichlet functions in number theory.
― 6 min read
A study of elliptic curves and their links to Hilbert's tenth problem in number theory.
― 5 min read
Exploring elliptic curves and their significant role in mathematics.
― 5 min read
A study on Galois extensions and their discriminants in number theory.
― 5 min read
Research into elliptic functions reveals new insights in number theory and algebra.
― 4 min read