Petersson norm of cusp forms associated to real quadratic fields
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Yingkun Li
Abstract
In this article, we compute the Petersson norm of a family of weight one cusp forms constructed by Hecke and express it in terms of the Rademacher symbol and the regulator of real quadratic fields.
Funding source: Deutsche Forschungsgemeinschaft
Award Identifier / Grant number: BR-2163/4-2
Funding source: Division of Mathematical Sciences
Award Identifier / Grant number: 1502713
Funding statement: The author is partially supported by the DFG grant BR-2163/4-2, and an NSF postdoctoral fellowship through the division of mathematical sciences.
Acknowledgements
The author thanks Ö. Imamoglu for helpful conversations about cycle integrals and the Rademacher symbol, as well as the referee for helpful comments.
References
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- Petersson norm of cusp forms associated to real quadratic fields
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Articles in the same Issue
- Frontmatter
- Upper bounds for geodesic periods over rank one locally symmetric spaces
- Additive bases with coefficients of newforms
- A note on split extensions of bialgebras
- Petersson norm of cusp forms associated to real quadratic fields
- A realization theorem for sets of lengths in numerical monoids
- On the non-existence of the Mackey topology for locally quasi-convex groups
- The Davies method revisited for heat kernel upper bounds of regular Dirichlet forms on metric measure spaces
- The cup product of Brooks quasimorphisms
- Heat kernel estimates for time fractional equations
- Extreme non-Arens regularity of the group algebra
- Rational homology and homotopy of high-dimensional string links
- Global integrability for solutions to some anisotropic problem with nonstandard growth
- Hardy operators on Musielak–Orlicz spaces
- Contractibility of the stability manifold for silting-discrete algebras
- Order of the canonical vector bundle over configuration spaces of spheres
- An endpoint version of uniform Sobolev inequalities
- Space-time L2 estimates, regularity and almost global existence for elastic waves
- k-spaces and duals of non-archimedean metrizable locally convex spaces
- Path homology theory of multigraphs and quivers
