Shimura’s vector-valued modular forms, weight changing operators, and Laplacians

Shaul Zemel

doi:10.1007/s40993-018-0104-3

Shimura’s vector-valued modular forms, weight changing operators, and Laplacians

Shaul Zemel

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

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

Abstract

We investigate the various types of weight raising and weight lowering operators on quasi-modular forms, or equivalently on Shimura’s vector-valued modular forms involving symmetric power representations. We also present all the eigenfunctions of the two possible Laplacian operators.

Original language	English
Article number	8
Journal	Research in Number Theory
Volume	4
Issue number	1
DOIs	https://doi.org/10.1007/s40993-018-0104-3
State	Published - 1 Mar 2018

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1007/s40993-018-0104-3

Cite this

@article{9b4f96c7735246e9a271955302bf114b,

title = "Shimura{\textquoteright}s vector-valued modular forms, weight changing operators, and Laplacians",

abstract = "We investigate the various types of weight raising and weight lowering operators on quasi-modular forms, or equivalently on Shimura{\textquoteright}s vector-valued modular forms involving symmetric power representations. We also present all the eigenfunctions of the two possible Laplacian operators.",

author = "Shaul Zemel",

note = "Publisher Copyright: {\textcopyright} 2018, SpringerNature.",

year = "2018",

month = mar,

day = "1",

doi = "10.1007/s40993-018-0104-3",

language = "الإنجليزيّة",

volume = "4",

journal = "Research in Number Theory",

issn = "2363-9555",

publisher = "SpringerOpen",

number = "1",

}

TY - JOUR

T1 - Shimura’s vector-valued modular forms, weight changing operators, and Laplacians

AU - Zemel, Shaul

PY - 2018/3/1

Y1 - 2018/3/1

N2 - We investigate the various types of weight raising and weight lowering operators on quasi-modular forms, or equivalently on Shimura’s vector-valued modular forms involving symmetric power representations. We also present all the eigenfunctions of the two possible Laplacian operators.

AB - We investigate the various types of weight raising and weight lowering operators on quasi-modular forms, or equivalently on Shimura’s vector-valued modular forms involving symmetric power representations. We also present all the eigenfunctions of the two possible Laplacian operators.

UR - http://www.scopus.com/inward/record.url?scp=85041620506&partnerID=8YFLogxK

U2 - 10.1007/s40993-018-0104-3

DO - 10.1007/s40993-018-0104-3

M3 - مقالة

SN - 2363-9555

VL - 4

JO - Research in Number Theory

JF - Research in Number Theory

IS - 1

M1 - 8

ER -

Shimura’s vector-valued modular forms, weight changing operators, and Laplacians

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this