Evaluating theta derivatives with rational characteristics

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We evaluate 35 different theta derivatives with rational characteristics using the method of Matsuda, in which the logarithmic derivatives at z= 0 of the triple product expansions of the associated theta functions become linear combinations of known theta series of weight 1.

Original languageAmerican English
Pages (from-to)367-391
Number of pages25
JournalRamanujan Journal
Volume50
Issue number2
DOIs
StatePublished - 1 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

  • Eta quotients
  • Theta derivatives
  • Theta functions

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