A SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES

Title:	A SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES
Authors:	Long, Ling Yang, Yifan 應用數學系 Department of Applied Mathematics
Keywords:	Eisenstein series;Jacobi theta functions;modular forms;sum of integer squares;Hankel determinant evaluation
Issue Date:	1-Dec-2005
Abstract:	We give a short proof of Milne's formulas for sums of 4n(2) and 4n(2) + 4n integer squares using the theory of modular forms. Other identities of Milne are also discussed.
URI:	http://dx.doi.org/10.1142/S1793042105000364 http://hdl.handle.net/11536/13027
ISSN:	1793-0421
DOI:	10.1142/S1793042105000364
Journal:	INTERNATIONAL JOURNAL OF NUMBER THEORY
Volume:	1
Issue:	4
Begin Page:	533
End Page:	551
Appears in Collections:	Articles

APA	Long, L., & Yang, Y. (2005). SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES. WOS:000207114000005.
Bibtex	@article{Long2005SHORT, title={SHORT PROOF OF MILNE'S FORMULAS FOR SUMS OF INTEGER SQUARES}, author={Long, Ling and Yang, Yifan}, journal={WOS:000207114000005}, year={2005}, url={https://ir.lib.nycu.edu.tw/handle/11536/13027}, }