Abstract
An arithmetic identity is used to prove a relation satisfied by the double series . As an application an explicit formula is given for the number of representations of the positive integer 𝑛 by the form
.
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On a Double Series of Chan and Ong
Kenneth S. Williams1
1Centre for Research in Algebra and Number Theory, School of Mathematics and Statistics, Carleton University, Ottawa, Ontario K1S 5B6, Canada. E-mail: kwilliam@connect.carleton.ca
Citation Information: Georgian Mathematical Journal. Volume 13, Issue 4, Pages 793–805, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2006.793, March 2010
Publication History:
- Received:
- 2006-08-09
- Published Online:
- 2010-03-10
Key words and phrases:: Eisenstein series; theta series; quadratic forms in 4 and 8 variables
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