International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 4, Pages 637-654
doi:10.1155/S0161171294000918

Infinite products over visible lattice points

Geoffrey B. Campbell

Mathematics Research Section, Institute of Advanced Studies, School of Mathematical Sciences, The Australian National University, GPO Box 4, Canberra 2601, Australia

Abstract

About fifty new multivariate combinatorial identities are given, connected with partition theory, prime products, and Dirichlet series. Connections to Lattice Sums in Chemistry and Physics are alluded to also.