Results 31 to 37 of about 252 (37)

A note on the Fourier coefficients of a Cohen-Eisenstein series

open access: yes, 2016
We prove a formula for the coefficients of a weight $3/2$ Cohen-Eisenstein series of square-free level $N$. This formula generalizes a result of Gross and in particular, it proves a conjecture of Quattrini. Let $l$ be an odd prime number.
Krishnamoorthy, Srilakshmi
core   +1 more source

Sampling expansions associated with quaternion difference equations

open access: yes, 2020
Starting with a quaternion difference equation with boundary conditions, a parameterized sequence which is complete in finite dimensional quaternion Hilbert space is derived. By employing the parameterized sequence as the kernel of discrete transform, we
Cheng, Dong   +3 more
core  

Quaternion Fractional Difference with Quaternionic Fractional Order and Applications to Fractional Difference Equation

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce the basic notions of the fractional summation, difference and q-difference with the quaternionic fractional order for the quaternion-valued functions and establish some of their basic properties.
Wang Chao, Xie Weiyu, Agarwal Ravi P.
doaj   +1 more source

Some Connections Between The Arithmetic and The Geometry of Lipschitz Integers

open access: yes, 2012
Some relationships between the arithmetic and the geometry of Lipschitz and Hurwitz integers are here presented. In particular, it is shown that the vector product of two left multiples of a Lipschitz integer $\alpha$ with any other Lipschitz integer is ...
Machiavelo, António, Roçadas, Luís
core  

Orienteering with One Endomorphism. [PDF]

open access: yesMathematica (N Y), 2023
Arpin S   +5 more
europepmc   +1 more source

Bicomplex Third-order Jacobsthal Quaternions

open access: yes, 2018
The aim of this work is to consider the bicomplex third-order Jacobsthal quaternions and to present some properties involving this sequence, including the Binet-style formulae and the generating functions.
Cerda, Gamaliel
core  

Home - About - Disclaimer - Privacy