Results 11 to 20 of about 27 (26)
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
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
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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
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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
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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
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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
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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
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On some Properties of Tribonacci Quaternions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we give some properties of the Tribonacci and Tribonacci-Lucas quaternions and obtain some identities for them.
Akkus Ilker, Kızılaslan Gonca
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On ̄h-Jacobsthal and ̄h-Jacobsthal–Lucas sequences, and related quaternions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this paper, inspired by recent articles of A. Szynal-Liana & I. Włoch and F. T. Aydin & S. Yüce (see [26] and [2]), we will introduce the ̄h-Jacobsthal quaternions and the ̄h-Jacobsthal–Lucas sequences and their associated quaternions. The new results
Anatriello Giuseppina, Vincenzi Giovanni
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