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Arithmeticity of holomorphic cuspforms on Hermitian symmetric domains

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Date
2015-06
Author
Lanphier, Dominic
Ürtiş, Çetin
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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.
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https://doi.org/10.1016/j.jnt.2014.12.015
http://hdl.handle.net/20.500.11851/1668
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  • Matematik Bölümü / Department of Mathematics

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