RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)

Yeongseong Jo

doi:10.1112/mtk.12079

RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)

Yeongseong Jo

Department of Mathematics Education

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

2 Scopus citations

Abstract

Let π be an irreducible admissible (complex) representation of (Formula presented.) over a non-Archimedean characteristic zero local field with odd residual characteristic. In this paper, we prove the equality between the local symmetric square L-function associated to π arising from integral representations and the corresponding Artin L-function for its Langlands parameter through the local Langlands correspondence. With this in hand, we show the stability of local symmetric γ-factors attached to π under highly ramified twists.

Original language	English
Pages (from-to)	388-421
Number of pages	34
Journal	Mathematika
Volume	67
Issue number	2
DOIs	https://doi.org/10.1112/mtk.12079
State	Published - Apr 2021

Bibliographical note

Publisher Copyright:
© 2021 The Authors. The publishing rights for this article are licensed to University College London under an exclusive licence.

Keywords

11F66
11F70 (primary)
11F85
22E50 (secondary)

Access to Document

10.1112/mtk.12079

Cite this

@article{1655f7e3d5e242519841ee40bdd748e0,

title = "RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)",

abstract = "Let π be an irreducible admissible (complex) representation of (Formula presented.) over a non-Archimedean characteristic zero local field with odd residual characteristic. In this paper, we prove the equality between the local symmetric square L-function associated to π arising from integral representations and the corresponding Artin L-function for its Langlands parameter through the local Langlands correspondence. With this in hand, we show the stability of local symmetric γ-factors attached to π under highly ramified twists.",

keywords = "11F66, 11F70 (primary), 11F85, 22E50 (secondary)",

author = "Yeongseong Jo",

note = "Publisher Copyright: {\textcopyright} 2021 The Authors. The publishing rights for this article are licensed to University College London under an exclusive licence.",

year = "2021",

month = apr,

doi = "10.1112/mtk.12079",

language = "English",

volume = "67",

pages = "388--421",

journal = "Mathematika",

issn = "0025-5793",

publisher = "John Wiley & Sons Inc.",

number = "2",

}

TY - JOUR

T1 - RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)

AU - Jo, Yeongseong

PY - 2021/4

Y1 - 2021/4

N2 - Let π be an irreducible admissible (complex) representation of (Formula presented.) over a non-Archimedean characteristic zero local field with odd residual characteristic. In this paper, we prove the equality between the local symmetric square L-function associated to π arising from integral representations and the corresponding Artin L-function for its Langlands parameter through the local Langlands correspondence. With this in hand, we show the stability of local symmetric γ-factors attached to π under highly ramified twists.

AB - Let π be an irreducible admissible (complex) representation of (Formula presented.) over a non-Archimedean characteristic zero local field with odd residual characteristic. In this paper, we prove the equality between the local symmetric square L-function associated to π arising from integral representations and the corresponding Artin L-function for its Langlands parameter through the local Langlands correspondence. With this in hand, we show the stability of local symmetric γ-factors attached to π under highly ramified twists.

KW - 11F66

KW - 11F70 (primary)

KW - 11F85

KW - 22E50 (secondary)

UR - http://www.scopus.com/inward/record.url?scp=85103655317&partnerID=8YFLogxK

U2 - 10.1112/mtk.12079

DO - 10.1112/mtk.12079

M3 - Article

AN - SCOPUS:85103655317

SN - 0025-5793

VL - 67

SP - 388

EP - 421

JO - Mathematika

JF - Mathematika

IS - 2

ER -

RANKIN–SELBERG INTEGRALS FOR LOCAL SYMMETRIC SQUARE FACTORS ON GL(2)

Abstract

Bibliographical note

Keywords

Access to Document

Fingerprint

Cite this