On Siegel-Eisenstein series attached to certain cohomological representations

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We introduce a Siegel-Eisenstein series of degree 2 which generates a cohomological representation of Saito-Kurokawa type at the real place. We study its Fourier expansion in detail, which is based on an investigation of the confluent hypergeometric functions with spherical harmonic polynomials. We will also consider certain Mellin transforms of the Eisenstein series, which are twisted by cuspidal Maass wave forms, and show their holomorphic continuations to the whole plane.

本文言語English
ページ(範囲)599-646
ページ数48
ジャーナルJournal of the Mathematical Society of Japan
63
2
DOI
出版ステータスPublished - 2011

ASJC Scopus subject areas

  • Mathematics(all)

フィンガープリント 「On Siegel-Eisenstein series attached to certain cohomological representations」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル