On some results of Hurwitz and Deutsch about certain quadratic formsopen access
- Authors
- Cho, Bumkyu; Park, 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.
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Collections - College of Natural Science > Department of Mathematics > 1. Journal Articles

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