English

Cubic identities for theta series in three variables

Number Theory 2007-05-23 v1

Abstract

We introduce three-variable analogues of the theta series of Borwein and Borwein. We prove various identities involving these theta series including a generalization of the cubic identity of Borwein and Borwein.

Cite

@article{arxiv.math/0009187,
  title  = {Cubic identities for theta series in three variables},
  author = {Robin Chapman},
  journal= {arXiv preprint arXiv:math/0009187},
  year   = {2007}
}

Comments

7 pages, LaTeX, submitted to The Ramanujan Journal

R2 v1 2026-07-22T16:34:49.919Z