Results 21 to 30 of about 48 (47)
The agrarian polytope of two‐generator one‐relator groups
Journal of the London Mathematical Society, Volume 102, Issue 2, Page 722-748, October 2020., 2020 Abstract Relying on the theory of agrarian invariants introduced in previous work, we solve a conjecture of Friedl–Tillmann: we show that the marked polytopes they constructed for two‐generator one‐relator groups with nice presentations are independent of the presentations used.
Fabian Henneke, Dawid Kielak
wiley +1 more source
p‐adic L‐functions on metaplectic groups
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020 Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley +1 more source
On the dual quaternion geometry of screw motions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In this study, the screw motions are studied using dual quaternions with the help of di erent perspectives. Firstly, orthogonality definition of dual quaternions is given and geometric interpretation of orthogonality condition is made.
Erişir Tülay +3 more
doaj +1 more source
On Spatial Quaternionic b-lift Curves
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 This study is based on the discovered relationships between the quaternionic slant helix and the quaternionic general helix. In this direction, we first examined quaternions, spatial quaternionic curves and b-lift curves.
Altınkaya Anıl, Çalışkan Mustafa
doaj +1 more source
On hyperbolic k-Pell quaternions sequences [PDF]
, 2018 In this paper we introduce the hyperbolic k-Pell functions and new classes of quaternions associated with this type of functions are presented.
Catarino, Paula
core +1 more source
Cauchy matrix and Liouville formula of quaternion impulsive dynamic equations on time scales
Open Mathematics, 2020 In this study, we obtain the scalar and matrix exponential functions through a series of quaternion-valued functions on time scales. A sufficient and necessary condition is established to guarantee that the induced matrix is real-valued for the complex ...
Li Zhien, Wang Chao
doaj +1 more source
PERIOD IDENTITIES OF CM FORMS ON QUATERNION ALGEBRAS
Forum of Mathematics, Sigma, 2020 Waldspurger’s formula gives an identity between the norm of a torus period and an $L$-function of the twist of an automorphic representation on GL(2).
CHARLOTTE CHAN
doaj +1 more source
Bounds for the zeros of unilateral octonionic polynomials
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 In the present work it is proved that the zeros of a unilateral octonionic polynomial belong to the conjugacy classes of the latent roots of an appropriate lambda-matrix.
Serôdio Rogério +2 more
doaj +1 more source
New Curiosity Bivariate Quadratic Quaternionic Polynomials and Their Roots
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021 We consider the second-order linear homogeneous quaternion recurrence solutions for some new curiosity bivariate quadratic quaternionic equations.
Akkus Ilker, Kizilaslan Gonca
doaj +1 more source
Lattices and Orders in Quaternion Algebras with Involution [PDF]
, 2020 We study maximal orders Λ in quaternion algebras having an involution over a quadratic field extension K/F . We construct a quadratic quaternary lattice in the algebra which parametrises the optimally embedded orders in F -subalgebras.
Håkan Granath
core