Result: Infinite products over hyperpyramid lattices
Title:
Infinite products over hyperpyramid lattices
Authors:
Source:
International Journal of Mathematics and Mathematical Sciences, Vol 23, Iss 4, Pp 271-277 (2000)
Publisher Information:
Wiley, 2000.
Publication Year:
2000
Subject Terms:
lattice point vectors, Combinatorial identities, combinatorial number theory, Elementary theory of partitions, partitions, infinite product identities, 01 natural sciences, Lattice points in specified regions, Other combinatorial number theory, QA1-939, 0101 mathematics, lattice points in specified regions, Mathematics, Combinatorial identities, bijective combinatorics
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1687-0425
0161-1712
0161-1712
DOI:
10.1155/s0161171200000764
Access URL:
http://downloads.hindawi.com/journals/ijmms/2000/108918.pdf
https://zbmath.org/1455547
https://doi.org/10.1155/s0161171200000764
https://doaj.org/article/b5a2505750924ad7b22b68083a0f7759
https://www.emis.de/journals/HOA/IJMMS/Volume23_4/277.pdf
https://digitalcollections.anu.edu.au/handle/1885/89524
https://www.hindawi.com/journals/ijmms/2000/108918/
https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=P20161024001-200012-201612150001-201612150001-271-277-034
https://downloads.hindawi.com/journals/ijmms/2000/108918.pdf
https://openresearch-repository.anu.edu.au/handle/1885/89524
https://zbmath.org/1455547
https://doi.org/10.1155/s0161171200000764
https://doaj.org/article/b5a2505750924ad7b22b68083a0f7759
https://www.emis.de/journals/HOA/IJMMS/Volume23_4/277.pdf
https://digitalcollections.anu.edu.au/handle/1885/89524
https://www.hindawi.com/journals/ijmms/2000/108918/
https://www.airitilibrary.com/Publication/alDetailedMesh?DocID=P20161024001-200012-201612150001-201612150001-271-277-034
https://downloads.hindawi.com/journals/ijmms/2000/108918.pdf
https://openresearch-repository.anu.edu.au/handle/1885/89524
Rights:
CC BY
Accession Number:
edsair.doi.dedup.....13d0e034d1103c6d6b1f5ab57a53a16f
Database:
OpenAIRE
Further Information
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.