Cubic theta functions

Daniel Phillip Schultz

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

The theory of the cubic theta function ∑qm2+mn+n2z1mz2n is developed analogously to the theory of the classical Jacobian theta functions. Many inversion formulas, addition formulas, and modular equations are derived, and these results extend previous work on cubic theta functions.

Original languageEnglish (US)
Pages (from-to)618-697
Number of pages80
JournalAdvances in Mathematics
Volume248
DOIs
StatePublished - Nov 25 2013

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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