On p-adic L-function associated with cusp forms on GL 2

Kenichi Namikawa

doi:10.1007/s00229-016-0904-5

On p-adic L-function associated with cusp forms on GL ₂

Kenichi Namikawa

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

5 Citations (Scopus)

Abstract

We construct p-adic L-functions of nearly p-ordinary cusp forms on GL ₂ over number fields. As a consequence, we prove a result on the non-vanishing of the central value of L-function of GL ₂ with cyclotomic twists.

Original language	English
Pages (from-to)	563-622
Number of pages	60
Journal	Manuscripta Mathematica
Volume	153
Issue number	3-4
DOIs	https://doi.org/10.1007/s00229-016-0904-5
Publication status	Published - Jul 1 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00229-016-0904-5

Cite this

@article{b2fbe8badc7542c6a1ef2e8bdbcffbcf,

title = "On p-adic L-function associated with cusp forms on GL 2 ",

abstract = "We construct p-adic L-functions of nearly p-ordinary cusp forms on GL 2 over number fields. As a consequence, we prove a result on the non-vanishing of the central value of L-function of GL 2 with cyclotomic twists.",

author = "Kenichi Namikawa",

note = "Publisher Copyright: {\textcopyright} 2016, Springer-Verlag Berlin Heidelberg.",

year = "2017",

month = jul,

day = "1",

doi = "10.1007/s00229-016-0904-5",

language = "English",

volume = "153",

pages = "563--622",

journal = "Manuscripta Mathematica",

issn = "0025-2611",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - On p-adic L-function associated with cusp forms on GL 2

AU - Namikawa, Kenichi

PY - 2017/7/1

Y1 - 2017/7/1

N2 - We construct p-adic L-functions of nearly p-ordinary cusp forms on GL 2 over number fields. As a consequence, we prove a result on the non-vanishing of the central value of L-function of GL 2 with cyclotomic twists.

AB - We construct p-adic L-functions of nearly p-ordinary cusp forms on GL 2 over number fields. As a consequence, we prove a result on the non-vanishing of the central value of L-function of GL 2 with cyclotomic twists.

UR - http://www.scopus.com/inward/record.url?scp=85006456823&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85006456823&partnerID=8YFLogxK

U2 - 10.1007/s00229-016-0904-5

DO - 10.1007/s00229-016-0904-5

M3 - Article

AN - SCOPUS:85006456823

SN - 0025-2611

VL - 153

SP - 563

EP - 622

JO - Manuscripta Mathematica

JF - Manuscripta Mathematica

IS - 3-4

ER -

On p-adic L-function associated with cusp forms on GL ₂

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this