Behavior of theta-series under modular substitutions

Bing Yong Xie

doi:10.1007/s10114-011-8677-y

Behavior of theta-series under modular substitutions

Bing Yong Xie

Peking University

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

Abstract

In this article we provide a transformation formula of certain theta series, and apply it to obtain non-holomorphic vector-valued modular forms.

Original language	English
Pages (from-to)	1705-1716
Number of pages	12
Journal	Acta Mathematica Sinica, English Series
Volume	27
Issue number	9
DOIs	https://doi.org/10.1007/s10114-011-8677-y
State	Published - Sep 2011
Externally published	Yes

Keywords

Theta series
nonholomorphic vector-valued modular forms

Access to Document

10.1007/s10114-011-8677-y

Cite this

@article{e30e4aefe6f348f7ae2182def4113f54,

title = "Behavior of theta-series under modular substitutions",

abstract = "In this article we provide a transformation formula of certain theta series, and apply it to obtain non-holomorphic vector-valued modular forms.",

keywords = "Theta series, nonholomorphic vector-valued modular forms",

author = "Xie, \{Bing Yong\}",

year = "2011",

month = sep,

doi = "10.1007/s10114-011-8677-y",

language = "英语",

volume = "27",

pages = "1705--1716",

journal = "Acta Mathematica Sinica, English Series",

issn = "1439-8516",

publisher = "Springer Verlag",

number = "9",

}

TY - JOUR

T1 - Behavior of theta-series under modular substitutions

AU - Xie, Bing Yong

PY - 2011/9

Y1 - 2011/9

N2 - In this article we provide a transformation formula of certain theta series, and apply it to obtain non-holomorphic vector-valued modular forms.

AB - In this article we provide a transformation formula of certain theta series, and apply it to obtain non-holomorphic vector-valued modular forms.

KW - Theta series

KW - nonholomorphic vector-valued modular forms

UR - https://www.scopus.com/pages/publications/80051894684

U2 - 10.1007/s10114-011-8677-y

DO - 10.1007/s10114-011-8677-y

M3 - 文章

AN - SCOPUS:80051894684

SN - 1439-8516

VL - 27

SP - 1705

EP - 1716

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 9

ER -

Behavior of theta-series under modular substitutions

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this