Upper bounds for geodesic periods over hyperbolic manifolds

Feng Su

doi:10.1142/S0129167X1850009X

Upper bounds for geodesic periods over hyperbolic manifolds

Feng Su^*

^*Corresponding author for this work

Chinese Academy of Sciences

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

1 Citation (Scopus)

Abstract

We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.

Original language	English
Article number	1850009
Journal	International Journal of Mathematics
Volume	29
Issue number	1
DOIs	https://doi.org/10.1142/S0129167X1850009X
Publication status	Published - 1 Jan 2018
Externally published	Yes

Keywords

Geodesic period
Maass form
hyperbolic manifold

Access to Document

10.1142/S0129167X1850009X

Cite this

@article{d5162a24c6184d4abb844e13bbbecb34,

title = "Upper bounds for geodesic periods over hyperbolic manifolds",

abstract = "We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.",

keywords = "Geodesic period, Maass form, hyperbolic manifold",

author = "Feng Su",

note = "Publisher Copyright: {\textcopyright} 2018 World Scientific Publishing Company.",

year = "2018",

month = jan,

day = "1",

doi = "10.1142/S0129167X1850009X",

language = "English",

volume = "29",

journal = "International Journal of Mathematics",

issn = "0129-167X",

number = "1",

}

TY - JOUR

T1 - Upper bounds for geodesic periods over hyperbolic manifolds

AU - Su, Feng

PY - 2018/1/1

Y1 - 2018/1/1

N2 - We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.

AB - We prove an upper bound for geodesic periods of Maass forms over hyperbolic manifolds. By definition, such periods are integrals of Maass forms restricted to a special geodesic cycle of the ambient manifold, against a Maass form on the cycle. Under certain restrictions, the bound will be uniform.

KW - Geodesic period

KW - Maass form

KW - hyperbolic manifold

UR - https://www.scopus.com/pages/publications/85040953212

U2 - 10.1142/S0129167X1850009X

DO - 10.1142/S0129167X1850009X

M3 - Article

AN - SCOPUS:85040953212

SN - 0129-167X

VL - 29

JO - International Journal of Mathematics

JF - International Journal of Mathematics

IS - 1

M1 - 1850009

ER -

Upper bounds for geodesic periods over hyperbolic manifolds

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this