Results 61 to 70 of about 931 (215)

On the Lang–Trotter conjecture for Siegel modular forms

Mathematika, Volume 72, Issue 3, July 2026.
Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
wiley   +1 more source

The general solution to an autoregressive law of motion

Quantitative Economics, Volume 17, Issue 3, Page 791-826, July 2026.
We provide a complete description of the set of all solutions to a vector autoregressive law of motion. Every solution is shown to be the sum of three components, each corresponding to a directed flow of time. One component flows forward from the arbitrarily distant past, one flows backward from the arbitrarily distant future, and one flows outward ...
Brendan K. Beare, Massimo Franchi, Phil Howlett   +2 more
wiley   +1 more source

Generating potentially nilpotent full sign patterns [PDF]

, 2009
A sign pattern is a matrix with entries in {+,-, 0}. A full sign pattern has no zero entries. The refined inertia of a matrix pattern is defined and techniques are developed for constructing potentially nilpotent full sign patterns.
Shader, B.L., Kim, I.J., Holst, van der, H., Driessche, van den, P., Vander Meulen, K.N., Olesky, D.D.   +5 more
core   +4 more sources

Counting symmetric nilpotent matrices [PDF]

, 2014
We determine the number of nilpotent matrices of order n over Fq that are self-adjoint for a given nondegenerate symmetric bilinear form, and in particular find the number of symmetric nilpotent matrices.
Sheekey, J., Brouwer, A.E., Gow, R.
core   +3 more sources

A Heuristic Method for Solving Polynomial Matrix Equations

Axioms
We propose a heuristic method to solve polynomial matrix equations of the type ∑k=1makXk=B, where ak are scalar coefficients and X and B are square matrices of order n.
Juan Luis González-Santander, Fernando Sánchez Lasheras   +1 more
doaj   +1 more source

$D$-Stratification and Hierarchy Graphs of the Space of Order 2 and 3 Matrix Pencils

Universal Journal of Mathematics and Applications, 2019
Small changes in the entries of a matrix pencil may lead to important changes in its Kronecker normal form. Studies about the effect of small perturbations have been made when considering the stratification associated with the strict equivalence between ...
Maria İsabel Garcia-planas, Maria Dolors Magret   +1 more
doaj   +1 more source

On the cohomology of finite‐dimensional nilpotent groups and Lie rings

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We establish vanishing results for the first cohomology group of nilpotent groups and Lie rings when the submodule of invariants is trivial. Our results are obtained within a model‐theoretic setting, namely for structures that are definable in a finite‐dimensional theory, which encompasses algebraic groups over algebraically closed fields ...
Samuel Zamour
wiley   +1 more source

The space of all p-th roots of a nilpotent complex matrix is path-connected [PDF]

, 2020
International audienceLet p be a positive integer and A be a nilpotent complex matrix.
de Seguins Pazzis, Clément
core   +1 more source

Nilpotents Leave No Trace: A Matrix Mystery for Pandemic Times

Journal of Humanistic Mathematics, 2022
Reopening a cold case, inspector Echelon, high-ranking in the Row Operations Center, is searching for a lost linear map, known to be nilpotent. When a partially decomposed matrix is unearthed, he reconstructs its reduced form, finding it singular. But were its roots nilpotent?
openaire   +3 more sources

The N‐prime graph and the Subgroup Isomorphism Problem

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We introduce a directed graph related to a group G$G$, which we call the N‐prime graph ΓN(G)$\Gamma _{\rm {N}}(G)$ of G$G$ and is a refinement of the classical Gruenberg–Kegel graph. The vertices of ΓN(G)$\Gamma _{\rm {N}}(G)$ are the primes p$p$ such that G$G$ has an element of order p$p$, and, for distinct vertices p$p$ and q$q$, the arc q→p$
Emanuele Pacifici, Ángel del Río, Marco Vergani   +2 more
wiley   +1 more source