Twisted mellin transforms of a real analytic residue of siegeleisenstein series of degree 2

Yasuko Hasegawa; Takuya Miyazaki

doi:10.1142/S0129167X09005625

Twisted mellin transforms of a real analytic residue of siegeleisenstein series of degree 2

Yasuko Hasegawa, Takuya Miyazaki

数理科学科

研究成果: Article › 査読

2 被引用数 (Scopus)

抄録

We study a residual form of a real analytic SiegelEisenstein series, which generates a certain derived functor module occurring in a degenerate principal series representation. We compute its Mellin transforms twisted by various Maass wave forms to get explicit formulas as our results. We apply them to prove meromorphic continuations together with functional equations which are satisfied by those twisted Mellin transforms.

本文言語	English
ページ（範囲）	1011-1027
ページ数	17
ジャーナル	International Journal of Mathematics
巻	20
号	8
DOI	https://doi.org/10.1142/S0129167X09005625
出版ステータス	Published - 2009 8月

ASJC Scopus subject areas

数学 (全般)

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10.1142/S0129167X09005625

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AB - We study a residual form of a real analytic SiegelEisenstein series, which generates a certain derived functor module occurring in a degenerate principal series representation. We compute its Mellin transforms twisted by various Maass wave forms to get explicit formulas as our results. We apply them to prove meromorphic continuations together with functional equations which are satisfied by those twisted Mellin transforms.

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KW - Dirichlet series

KW - Mellin transforms

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Twisted mellin transforms of a real analytic residue of siegeleisenstein series of degree 2

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