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：2000
卷号：23
DOI：10.1155/S0161171200000764
出版社：Hindawi Publishing Corporation
摘要：New infinite product identities are given, based on summed
visible (from the origin) point vectors. Each result
is found from summing on vpv lattices dividing space into radial
regions from the origin. Recently, Baake et al. and Mosseri
considered the 2-D visible lattice points as part of an optical
experiment in which so-called Optical Fourier Transform was
applied. Many of the techniques exposed by Glasser and Zucker, and
Ninham et al. involving Mellin and Möbius inversions are also
applicable to the current paper.
