This article discusses the Submonoid Membership problem in lamplighter groups and its implications.
Ruiwen Dong
― 7 min read
Mathematics - Number Theory
RSSA deep dive into the nature of torsion groups in elliptic curves.
Abbey Bourdon, Tyler Genao
― 5 min read
Explore how self-similar measures reveal insights into probability and approximation.
Timothée Bénard, Weikun He, Han Zhang
― 5 min read
Exploring the connections between Selmer groups, curves, and their ranks.
Adam Morgan
― 6 min read
Explore the intriguing rules and patterns of Collatz-type sequences.
Gaurav Goyal
― 4 min read
A look into the toric fundamental group and its significance in mathematics.
Giulio Bresciani
― 5 min read
An accessible guide to abelian varieties in mathematics and their significance.
Jonas Bergström, Valentijn Karemaker, Stefano Marseglia
― 4 min read
Heegner points connect elliptic curves and L-functions, enriching number theory.
Kâzım Büyükboduk, Daniele Casazza, Aprameyo Pal
― 6 min read
An overview of symmetric functions, their properties, and key applications in mathematics.
Milo Bechtloff Weising
― 7 min read
A study of point movement and reflections within a regular pentagon.
Alex Kontorovich, Xin Zhang
― 5 min read
An overview of dynamical irreducibility and its significance in polynomial behavior.
Tori Day, Rebecca DeLand, Jamie Juul
― 5 min read
A look into the significance of Shimura varieties in mathematics.
Stefan Reppen
― 4 min read
A look into polynomial equations and their various types of solutions.
Vahagn Aslanyan
― 5 min read
An exploration of prime numbers and their intriguing patterns.
Cheuk Fung Lau
― 5 min read
Investigating the significance of non-zero values in Dirichlet functions and their implications.
Debmalya Basak, Alexandru Zaharescu
― 5 min read
An exploration of character sums and their moments in number theory.
Barnabás Szabó
― 6 min read
New algorithms improve solving integer equations critical for cryptography.
Mayank Deora, Pinakpani Pal
― 5 min read
This article explores hypergeometric functions and their significance in number theory.
Brian Grove
― 4 min read
A look into how rational numbers approximate irrational ones and their implications.
Brandon Dong, Soren Dupont, Evan M. O'Dorney
― 6 min read
This study investigates the zeroes of half-integral weight Hecke cusp forms.
Jesse Jääsaari
― 6 min read
Examining elliptic curves and their behavior within cyclotomic extensions and Selmer groups.
Katharina Müller, Anwesh Ray
― 5 min read
Explore the essential links between special functions, ideals, and number theory.
Ho Leung Fong
― 4 min read
Explore the role of Kummer surfaces in mathematics and secure communications.
Maria Corte-Real Santos, E. Victor Flynn
― 5 min read
Explore the connections between operators, functions, and number theory.
Zhilin Luo, Ngo Bao Chau
― 5 min read
Explore the structures of perfectoid towers and prisms in mathematics.
Ryo Ishizuka
― 3 min read
This study examines the behavior of moments in elliptic curves.
Timothy Cheek, Pico Gilman, Kareem Jaber
― 4 min read
Explore the link between quadratic polynomials and directed graphs through preperiodic points.
Ho Chung Siu
― 4 min read
Exploring the connection between cubefree numbers and sums of two cubes in number theory.
Anwesh Ray
― 6 min read
Examining how modular forms relate to quadratic fields through periods and zeta functions.
Alexandros Groutides
― 5 min read
Exploring properties and sizes of k-intersecting polynomial families over finite fields.
Nika Salia, Dávid Tóth
― 5 min read
This article discusses the properties of Steinberg deformation rings in algebraic structures.
Daniel Funck, Jack Shotton
― 6 min read
An overview of recent findings in quantum dynamics and particle movement.
Wencai Liu, Matthew Powell, Xueyin Wang
― 7 min read
Examining the anticyclotomic Euler system and its impact on number theory.
Kim Tuan Do
― 5 min read
A look at the properties and significance of Ford spheres in mathematics.
Spencer Backman, Taylor Dupuy, Anton Hilado
― 6 min read
Exploring relationships between Morita theory and Azumaya algebras in mathematics.
Yeqin Liu, Yu Shen
― 5 min read
Exploring the connections between geometry and number theory through Diophantine equations.
Thang Pang Ern
― 5 min read
Discover the significance of Ramanujan sums and their applications in coding theory.
N. Uday Kiran
― 6 min read
A look into Goldbach's Conjecture and its significance in mathematics.
Gautami Bhowmik, Anne-Maria Ernvall-Hytönen, Neea Palojärvi
― 5 min read
An overview of string amplitudes and their significance in string theory.
Jan Manschot, Zhi-Zhen Wang
― 6 min read
Explore the significance of integral Cayley graphs in mathematics.
Tung T. Nguyen, Nguyen Duy Tân
― 6 min read