Results 111 to 120 of about 29,705 (142)

On the $K(pi, 1)$-property for rings of integers in the mixed case (Algebraic Number Theory and Related Topics 2007)

open access: yesOn the $K(pi, 1)$-property for rings of integers in the mixed case (Algebraic Number Theory and Related Topics 2007)
openaire  

Algebraic properties of the ring of integer-valued polynomials on prime numbers

open access: closedCommunications in Algebra, 1997
Jean-Luc Glasby   +2 more
openalex   +2 more sources

Ramanujan’s sum in the ring of integers of an algebraic number field

International Journal of Number Theory, 2019
In this paper, we generalize Ramanujan’s sum to the ring of integers of an algebraic number field. We also obtain the orthogonality properties of Ramanujan’s sum in the ring of integers.
Wang, Yujie, Ji, Chungang
openaire   +2 more sources

Realizability of Two-dimensional Linear Groups over Rings of Integers of Algebraic Number Fields

Algebras and Representation Theory, 2009
This paper is concerned with the following problem. Given the ring of integers \(O_K\) of an algebraic number field \(K\) and a positive integer \(n\), does there exist a finite subgroup \(G\) of \(\mathrm{GL}(n,O_K)\) such that \(O_KG=M(n,O_K)\), where \(O_KG\) is the \(O_K\)-span of \(G\)? In this case \(M(n,O_K)\) is a `Schur ring'.
Malinin, Dmitry, Van Oystaeyen, Freddy
openaire   +3 more sources

Computing the discrete Fourier transform using residue number systems in a ring of algebraic integers

IEEE Transactions on Information Theory, 1985
A new method is described for computing an \(N=R^ m=2^{vm}\)-point complex discrete Fourier transform that uses quantization within a dense ring of algebraic integers in conjunction with a residue number system over this ring. The algebraic and analytic foundations for the technique are derived and discussed. The architecture for a radix-R fast Fourier
Cozzens, John H., Finkelstein, Larry A.
openaire   +2 more sources

Home - About - Disclaimer - Privacy