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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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	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

Keywords

Seesaw identities
Theta contractions
Theta lifts

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1007/s11139-023-00786-2

Cite this

@article{f6470301e2d041cb83111ef2fdef32ab,

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

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",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023.",

year = "2024",

month = mar,

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

language = "الإنجليزيّة",

volume = "63",

pages = "749--771",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

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

AU - Zemel, Shaul

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023.

PY - 2024/3

Y1 - 2024/3

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

UR - http://www.scopus.com/inward/record.url?scp=85174627250&partnerID=8YFLogxK

U2 - 10.1007/s11139-023-00786-2

DO - 10.1007/s11139-023-00786-2

M3 - مقالة

SN - 1382-4090

VL - 63

SP - 749

EP - 771

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 3

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this