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Title: Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains
Authors: Lanphier, Dominic
Ürtiş, Çetin
Keywords: Cuspforms
Siegel Eisenstein series
Siegel-Weil Eisenstein series
Theta series
Issue Date: Jun-2015
Publisher: Academic Press Inc Elsevier Science
Source: Lanphier, D., & Ürtiş, Ç. (2015). Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains. Journal of Number Theory, 151, 230-262.
Abstract: We prove Galois equivariance of ratios of Petersson inner products of holomorphic cuspforms on symplectic, unitary, or Hermitian orthogonal groups. As a consequence, we show that the ratios of Petersson norms of such cuspforms with the same Hecke eigenvalues are algebraic. We also show that spaces of such cuspforms of sufficiently high fixed weight and level are spanned by theta series. (C) 2015 Elsevier Inc. All rights reserved.
ISSN: 0022-314X
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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