Results 71 to 80 of about 12,236 (229)
Coefficients of Unitary Cyclotomic Polynomials of Order Three [PDF]
, 2021 Gennady Bachman
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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 +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 +2 more
wiley +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 +2 more
core
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
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Feasibility of primality in bounded arithmetic
Forum of Mathematics, SigmaWe prove the correctness of the AKS algorithm [1] within the bounded arithmetic theory $T^{\text {count}}_2$ or, equivalently, the first-order consequences of the theory $\text {VTC}^0$ expanded by the smash function, which we denote by
Raheleh Jalali, Ondřej Ježil
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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.
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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 +2 more
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Improvements on results of representation of elements in cyclotomic subgroup
Tongxin xuebao, 2007 Further investigations on efficient public-key cryptosystems based on discrete logarithm in finite field（exten-sion） were provided,and in case of the degree of field extension being odd,the ordinary results proposed by Wieb Bosma et al were optimized.It ...
JIANG Zheng-tao1 +3 more
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An integral formula for the coefficients of the inverse cyclotomic polynomial
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaSome recent advances related to an integral formula for the coefficients of inverse cyclotomic polynomials, including applications and numerical simulations are given.
Andrica Dorin +2 more
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