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

Shaul Zemel

doi:10.1007/s11139-023-00786-2

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

Shaul Zemel^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

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 language	English
Pages (from-to)	749-771
Number of pages	23
Journal	Ramanujan Journal
Volume	63
Issue number	3
DOIs	https://doi.org/10.1007/s11139-023-00786-2
State	Published - Mar 2024

Bibliographical note

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

Keywords

Seesaw identities
Theta contractions
Theta lifts

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10.1007/s11139-023-00786-2

Cite this

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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.",

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N2 - 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.

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KW - Theta lifts

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

Abstract

Bibliographical note

Keywords

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