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

Yasuko Hasegawa, Takuya Miyazaki

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1011-1027
Number of pages17
JournalInternational Journal of Mathematics
Volume20
Issue number8
DOIs
Publication statusPublished - 2009 Aug

Fingerprint

Mellin Transform
Series
Series Representation
Meromorphic
Waveform
Functor
Continuation
Functional equation
Explicit Formula
Module
Form

Keywords

  • Confluent hypergeometric functions on tube domains
  • Dirichlet series
  • Mellin transforms
  • Residues of siegeleisenstein series

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Twisted mellin transforms of a real analytic residue of siegeleisenstein series of degree 2. / Hasegawa, Yasuko; Miyazaki, Takuya.

In: International Journal of Mathematics, Vol. 20, No. 8, 08.2009, p. 1011-1027.

Research output: Contribution to journalArticle

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