Summary
We review some recent results on the arithmetic of the theta correspondence for certain symplectic-orthogonal dual pairs and some applications to periods and congruences of modular forms. We also propose an integral version of a conjecture on Petersson inner products of modular forms on quaternion algebras over totally real fields.
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© 2008 Birkhäuser Boston
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Prasanna, K. (2008). Arithmetic Aspects of the Theta Correspondence and Periods of Modular Forms. In: Gan, W., Kudla, S., Tschinkel, Y. (eds) Eisenstein Series and Applications. Progress in Mathematics, vol 258. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4639-4_9
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DOI: https://doi.org/10.1007/978-0-8176-4639-4_9
Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4496-3
Online ISBN: 978-0-8176-4639-4
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