Detailed Information

Cited 2 time in webofscience Cited 2 time in scopus
Metadata Downloads

On some results of Hurwitz and Deutsch about certain quadratic formsopen access

Authors
Cho, BumkyuPark, Ho
Issue Date
Nov-2014
Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
Keywords
Quadratic forms; Number of representations; Lionville identities
Citation
JOURNAL OF NUMBER THEORY, v.144, pp 1 - 14
Pages
14
Indexed
SCI
SCIE
SCOPUS
Journal Title
JOURNAL OF NUMBER THEORY
Volume
144
Start Page
1
End Page
14
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/23530
DOI
10.1016/j.jnt.2014.04.016
ISSN
0022-314X
1096-1658
Abstract
In this paper we introduce some results of Hurwitz and Deutsch about the number of representations of integers by quadratic forms x(2) + y(2) + z(2) + w(2) and x(2) + y(2) + 2z(2) + 2w(2) with certain parity conditions on the variables x, y, z and w. The purpose of this paper is to provide another proof of these results by the use of Liouville type identities, and see how many more similar results can be shown with this technique. (C) 2014 Elsevier Inc. All rights reserved.
Files in This Item
There are no files associated with this item.
Appears in
Collections
College of Natural Science > Department of Mathematics > 1. Journal Articles

qrcode

Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.

Related Researcher

Researcher Cho, Bum Kyu photo

Cho, Bum Kyu
College of Natural Science (Department of Mathematics)
Read more

Altmetrics

Total Views & Downloads

BROWSE