scholarly journals Low-lying zeros of L-functions for Quaternion Algebras

2021 ◽  
pp. 1-42
Author(s):  
Didier Lesesvre
Keyword(s):  
Quaternion Algebras

scholarly journals On split quaternion equivalents for Quaternaccis, shortly Split Quaternaccis

2021 ◽  
Vol 19 (1) ◽  
pp. 583-599
Author(s):  
Beata Bajorska-Harapińska ◽  
Jakub Jan Ludew ◽  
Barbara Smoleń-Duda ◽  
Roman Wituła
Keyword(s):  
Generating Functions ◽  
Split Quaternion ◽  
Quaternion Algebras

Abstract In this paper, we introduce generalizations of Quaternacci sequences (Quaternaccis), called Split Quaternacci sequences, which arose on a base of split quaternion algebras. Explicit and recurrent formulae for Split Quaternacci sequences are given, as well as generating functions. Also, matrices related to Split Quaternaccis sequences are investigated. Moreover, new identities connecting Horadam sequences with other known sequences are generated. Analogous identities for Horadam quaternions and split Horadam quaternions are proved.

scholarly journals Rank one sheaves over quaternion algebras on Enriques surfaces

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Fabian Reede
Keyword(s):  
Quaternion Algebra ◽  
Double Cover ◽  
Complex Numbers ◽  
K3 Surface ◽  
Enriques Surface ◽  
Quaternion Algebras ◽  
Enriques Surfaces ◽  
Rank One ◽  
Torsion Free

Abstract Let X be an Enriques surface over the field of complex numbers. We prove that there exists a nontrivial quaternion algebra 𝓐 on X. Then we study the moduli scheme of torsion free 𝓐-modules of rank one. Finally we prove that this moduli scheme is an étale double cover of a Lagrangian subscheme in the corresponding moduli scheme on the associated covering K3 surface.

Quaternion Algebras

1970 ◽  
pp. 417-548
Author(s):  
H. Jacquet ◽  
R. P. Langlands
Keyword(s):  
Quaternion Algebras

scholarly journals Note on divisor function for quaternion algebras

2010 ◽  
Vol 130 (10) ◽  
pp. 2147-2156
Author(s):  
Guangshi Lü ◽  
Honggang Xia
Keyword(s):  
Divisor Function ◽  
Quaternion Algebras

scholarly journals On quaternion algebras over the composite of quadratic number fields

2021 ◽  
Vol 56 (1) ◽  
pp. 63-78
Author(s):  
Vincenzo Acciaro ◽  
◽  
Diana Savin ◽  
Mohammed Taous ◽  
Abdelkader Zekhnini ◽  
...  
Keyword(s):  
Number Fields ◽  
Complete Characterization ◽  
Quadratic Number ◽  
Quaternion Algebras ◽  
Quadratic Number Fields

Let p and q be two positive prime integers. In this paper we obtain a complete characterization of division quaternion algebras HK(p, q) over the composite K of n quadratic number fields.

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