Cubic theta functions

Daniel Schultz

doi:10.1016/j.aim.2013.08.021

Cubic theta functions

Daniel Schultz

Mathematics

Research output: Contribution to journal › Article › peer-review

10 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 language	English (US)
Pages (from-to)	618-697
Number of pages	80
Journal	Advances in Mathematics
Volume	248
DOIs	https://doi.org/10.1016/j.aim.2013.08.021
State	Published - Nov 25 2013

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/j.aim.2013.08.021

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title = "Cubic theta functions",

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.",

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AB - 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.

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Cubic theta functions

Abstract

All Science Journal Classification (ASJC) codes

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