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)

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10.1112/mtk.12079

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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.",

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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.

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KW - 11F70 (primary)

KW - 11F85

KW - 22E50 (secondary)

UR - https://www.scopus.com/pages/publications/85103655317

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JF - Mathematika

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ER -

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

Abstract

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Keywords

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