Results 61 to 70 of about 9,407 (175)

Self-dual cyclic codes over finite chain rings [PDF]

, 2014
Let $R$ be a finite commutative chain ring with unique maximal ideal $\langle \gamma\rangle$, and let $n$ be a positive integer coprime with the characteristic of $R/\langle \gamma\rangle$. In this paper, the algebraic structure of cyclic codes of length
Chen, Bocong, Ling, San, Zhang, Guanghui
core  

Parity of ranks of Jacobians of curves

Proceedings of the London Mathematical Society, Volume 131, Issue 3, September 2025.
Abstract We investigate Selmer groups of Jacobians of curves that admit an action of a non‐trivial group of automorphisms, and give applications to the study of the parity of Selmer ranks. Under the Shafarevich–Tate conjecture, we give an expression for the parity of the Mordell–Weil rank of an arbitrary Jacobian in terms of purely local invariants ...
Vladimir Dokchitser, Holly Green, Alexandros Konstantinou, Adam Morgan   +3 more
wiley   +1 more source

Cyclic branched covers of Seifert links and properties related to the ADE$ADE$ link conjecture

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract In this article, we show that all cyclic branched covers of a Seifert link have left‐orderable fundamental groups, and therefore admit co‐oriented taut foliations and are not L$L$‐spaces, if and only if it is not an ADE$ADE$ link up to orientation. This leads to a proof of the ADE$ADE$ link conjecture for Seifert links. When L$L$ is an ADE$ADE$
Steven Boyer, Cameron McA. Gordon, Ying Hu   +2 more
wiley   +1 more source

Lehmer's conjecture for Hermitian matrices over the Eisenstein and Gaussian integers [PDF]

, 2012
We solve Lehmer's problem for a class of polynomials arising from Hermitian matrices over the Eisenstein and Gaussian integers, that is, we show that all such polynomials have Mahler measure at least Lehmer's number \tau_0 = 1.17628...
Greaves, Gary, Taylor, Graeme
core   +2 more sources

The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
wiley   +1 more source

Statistics of Quantum Numbers for Non-Equivalent Fermions in Single-j Shells

Atoms
This work addresses closed-form expressions for the distributions P(M) of the magnetic quantum numbers M and Q(J) of total angular momentum J for non-equivalent fermions in single-j orbits.
Jean-Christophe Pain
doaj   +1 more source

Computing sparse multiples of polynomials [PDF]

, 2010
We consider the problem of finding a sparse multiple of a polynomial. Given f in F[x] of degree d over a field F, and a desired sparsity t, our goal is to determine if there exists a multiple h in F[x] of f such that h has at most t non-zero terms, and ...
Giesbrecht, Mark, Roche, Daniel S., Tilak, Hrushikesh   +2 more
core  

On binary cyclotomic polynomials [PDF]

Algebra & Number Theory, 2013
We study the number of nonzero coefficients of cyclotomic polynomials Φm, where m is the product of two distinct primes.
openaire   +2 more sources

Asymptotic estimates of large gaps between directions in certain planar quasicrystals

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract For quasicrystals of cut‐and‐project type in Rd$\mathbb {R}^d$, it was proved by Marklof and Strömbergsson [Int. Math. Res. Not. IMRN (2015), no. 15, 6588–6617; erratum, ibid. 2020] that the limit local statistical properties of the directions to the points in the set are described by certain SLd(R)$\operatorname{SL}_d(\mathbb {R})$‐invariant ...
Gustav Hammarhjelm, Andreas Strömbergsson, Shucheng Yu   +2 more
wiley   +1 more source

On profinite rigidity amongst free‐by‐cyclic groups I: The generic case

Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.
Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley   +1 more source