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

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	American English
Journal	Ramanujan Journal
DOIs	https://doi.org/10.1007/s11139-023-00786-2
State	Accepted/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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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.",

keywords = "Seesaw identities, Theta contractions, Theta lifts",

author = "Shaul Zemel",

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year = "2023",

doi = "10.1007/s11139-023-00786-2",

language = "American English",

journal = "Ramanujan Journal",

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T1 - Seesaw identities and theta contractions with generalized theta functions, and restrictions of theta lifts

AU - Zemel, Shaul

PY - 2023

Y1 - 2023

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.

AB - 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.

KW - Seesaw identities

KW - Theta contractions

KW - Theta lifts

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U2 - 10.1007/s11139-023-00786-2

DO - 10.1007/s11139-023-00786-2

M3 - Article

AN - SCOPUS:85174627250

SN - 1382-4090

JO - Ramanujan Journal

JF - Ramanujan Journal

ER -

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

Abstract

Bibliographical note

Keywords

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