期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1998
卷号：21
DOI：10.1155/S0161171298001033
出版社：Hindawi Publishing Corporation
摘要：New identities are given, based on ideas related to visible (from the origin) point vectors. Each result was found from summing on vpv lattices dividing space
into radial regions from the origin. This is
related to recent work by the author in which new partition type infinite products were derived. Also
recently, Baake et al [3] and Mosseri [14] considered the 2-D
visible lattice points as part of an optical
experiment in which the so-called Optical Fourier Transform was applied. Many of the techniques
espoused in Glasser and Zucker [11], and in Ninham et al [15] involving Mellin and Möbius inversions
are applicable also to the current paper.
