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On the special values of certain L-series related to half-integral weight modular forms
Title: | On the special values of certain L-series related to half-integral weight modular forms |
Authors: | Katsurada, Hidenori Browse this author |
Issue Date: | 17-Mar-2014 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 1050 |
Start Page: | 1 |
End Page: | 25 |
Abstract: | Let h be a cuspidal Hecke eigenform of half-integral weight, and En/2+1/2 be Cohen’s Eisenstein series of weight n/2+1/2. For a Dirichlet character χ we define a certain linear combination R(χ)(s, h,En/+1/2) of the Rankin-Selberg convolution products of h and En/2+1/2 twisted by Dirichlet characters related with χ. We then prove a certain algebraicity result for R(χ)(l, h,En/2+1/2) with l integers. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69854 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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