Article ID Journal Published Year Pages File Type
4593638 Journal of Number Theory 2015 33 Pages PDF
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.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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