Skip to main content
NCBI home page
Proceedings of the National Academy of Sciences of the United States of America logoLink to Proceedings of the National Academy of Sciences of the United States of America
. 1977 May;74(5):1800–1801. doi: 10.1073/pnas.74.5.1800

Extended Watson integrals for the cubic lattices

M L Glasser *, I J Zucker †
PMCID: PMC431006  PMID: 16592395

Abstract

The known exact expressions for extended Watson integrals relating to various cubic and modified cubic lattices are summarized. A new closed form expression for Watson's result on the simple cubic lattice is given in terms of gamma functions.

Keywords: elliptic integral, trigonometric polynomial

Full text

PDF
1800

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Chowla S., Selberg A. On Epstein's Zeta Function (I). Proc Natl Acad Sci U S A. 1949 Jul;35(7):371–374. doi: 10.1073/pnas.35.7.371. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Proceedings of the National Academy of Sciences of the United States of America are provided here courtesy of National Academy of Sciences

RESOURCES