Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4593638 | Journal of Number Theory | 2015 | 33 Pages |
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
Authors
Dominic Lanphier, Çetin Ürtiş,