Results 11 to 20 of about 56 (41)
Definite orders with locally free cancellation
Transactions of the London Mathematical Society, 2019 We enumerate all orders in definite quaternion algebras over number fields with the Hermite property; this includes all orders with the cancellation property for locally free modules.
Daniel Smertnig, John Voight
doaj +2 more sources
Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms
Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 33-48, December 2020., 2020 Abstract We define twisted Eisenstein series Es±(h,k;τ) for s∈C, and show how their associated period functions, initially defined on the upper half complex plane H, have analytic continuation to all of C′:=C∖R⩽0. We also use this result, as well as properties of various zeta functions, to show that certain cotangent‐zeta sums behave like quantum ...
Amanda Folsom
wiley +1 more source
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
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
On superspecial abelian surfaces over finite fields
Documenta Mathematica, 2016 In this paper we establish a new lattice description for superspecial abelian varieties over a finite field Fq of q = p a elements. Our description depends on the parity of the exponent a of q.
Jiangwei Xue, Tse-Chung Yang, Chia-Fu Yu
semanticscholar +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
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
On some properties of split Horadam quaternions
Acta Universitatis Sapientiae: Mathematica, 2020 In this paper we introduce and study the split Horadam quaternions. We give some identities, among others Binet’s formula, Catalan’s, Cassini’s and d’Ocagne’s identities for these numbers.
Bród Dorota
doaj +1 more source
, 2012 In this paper, we consider split quaternions and split quaternion matrices. Firstly, we give some properties of split quaternions. After that we investigate split quaternion matrices using properties of complex matrices.
Y. Alagöz +2 more
semanticscholar +1 more source