Seesaw identities and theta contractions with generalized theta functions, and restrictions of theta lifts

Shaul Zemel*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We prove a seesaw identity for theta functions with polynomials, and establish a formula for the corresponding theta contractions. We then use it to determine the restrictions of theta lifts to sub-Grassmannians, with some applications.

Original languageAmerican English
JournalRamanujan Journal
DOIs
StateAccepted/In press - 2023

Bibliographical note

Publisher Copyright:
© 2023, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.

Keywords

  • Seesaw identities
  • Theta contractions
  • Theta lifts

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