Spectral means of central values of automorphic L-functions for GL(2)

著者

• 都築, 正男 ツズキ, マサオ

書誌事項

Spectral means of central values of automorphic L-functions for GL(2)

Masao Tsuzuki

（Memoirs of the American Mathematical Society, no. 1110）

American Mathematical Society, 2015, c2014

注記

"Volume 235, number 1110 (fifth of 5 numbers), May 2015"

Includes bibliographical references (p. 127-129)

内容説明・目次

内容説明

Starting with Green's functions on adele points of $\mathrm{GL}(2)$ considered over a totally real number field, the author elaborates an explicit version of the relative trace formula, whose spectral side encodes the informaton on period integrals of cuspidal waveforms along a maximal split torus. As an application, he proves two kinds of asymptotic mean formula for certain central $L$-values attached to cuspidal waveforms with square-free level.

目次

Introduction Preliminaries Preliminary analysis Green's functions on $\mathrm{GL}(2,\mathbb{R})$ Green's functions on $\mathrm{GL}(2,F_v)$ with $v$ a non archimedean place Kernel functions Regularized periods Automorphic Green's functions Automorphic smoothed kernels Periods of regularized automorphic smoothed kernels: the spectral side A geometric expression of automorphic smoothed kernels Periods of regularized automorphic smoothed kernels: the geometric side Asymptotic formulas An error term estimate in the Weyl type asymptotic law Appendix Bibliography

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BB18674901
• ISBN:
  • 9781470410193
• LCCN: 2014049959
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Providence, R.I.
• ページ数/冊数: vii, 129 p.
• 大きさ: 26 cm
• 親書誌ID:
  • BA00035927