Results 41 to 50 of about 9,407 (175)
p$p$‐adic equidistribution and an application to S$S$‐units
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley +1 more source
Representation of Cyclotomic Fields and Their Subfields [PDF]
, 2012 Let $\K$ be a finite extension of a characteristic zero field $\F$. We say that the pair of $n\times n$ matrices $(A,B)$ over $\F$ represents $\K$ if $\K \cong \F[A]/$ where $\F[A]$ denotes the smallest subalgebra of $M_n(\F)$ containing $A$ and $$ is an
A. K. Lal +3 more
core
Small-span Hermitian matrices over quadratic integer rings
, 2013 Building on the classification of all characteristic polynomials of integer symmetric matrices having small span (span less than 4), we obtain a classification of small-span polynomials that are the characteristic polynomial of a Hermitian matrix over ...
Greaves, Gary
core +1 more source
Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
wiley +1 more source
The Galois theory of the lemniscate [PDF]
, 2012 This article studies the Galois groups that arise from division points of the lemniscate. We compute these Galois groups two ways: first, by class field theory, and second, by proving the irreducibility of lemnatomic polynomials, which are analogs of ...
Cox, David A., Hyde, Trevor
core
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.For nonzero coprime integers a and b, a positive integer l is said to be good with respect to a and b if there exists a positive integer k such that l divides ak + bk. Since the early 1990s, the notion of good integers has attracted considerable attention from researchers. This continued interest stems from both their elegant number‐theoretic structure
Somphong Jitman, Anwar Saleh Alwardi
wiley +1 more source
A probabilistic approach to value sets of polynomials over finite fields [PDF]
, 2014 In this paper we study the distribution of the size of the value set for a random polynomial with degree at most $q-1$ over a finite field $\mathbb{F}_q$.
Gao, Zhicheng, Wang, Qiang
core
The Dimension of Subcode-Subfields of Shortened Generalized Reed Solomon Codes
, 2011 Reed-Solomon (RS) codes are among the most ubiquitous codes due to their good parameters as well as efficient encoding and decoding procedures. However, RS codes suffer from having a fixed length.
Hernando, Fernando +2 more
core +1 more source
Cyclotomic Classes in a Product of Finite Abelian Groups and Applications
Journal of Mathematics, Volume 2026, Issue 1, 2026.Cyclotomic classes of finite abelian groups have been extensively investigated for many decades, largely because of their nice algebraic structure and the breadth of their theoretical and practical applications. They naturally arise in diverse areas of mathematics, ranging from number theory and polynomial factorization to the decomposition of group ...
Somphong Jitman, Faranak Farshadifar
wiley +1 more source
The cyclotomic polynomial topologically [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012 Abstract. We interpret the coefficients of the cyclotomic polynomial in terms of simplicial homology.
Musiker, Gregg, Reiner, Victor
openaire +2 more sources