Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
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Hui Wang
and
Xin Wang
Abstract
With the method of mollification and the simple Kuznetsov trace formula, we study the central 𝐿-values of
Funding source: National Key Research and Development Program of China
Award Identifier / Grant number: 2021YFA1000700
Funding statement: This work was supported by the National Key Research and Development Program of China (Grant No. 2021YFA1000700).
Acknowledgements
The authors would like to thank Professors Jianya Liu and Xiumin Ren for their help and encouragement. We gratefully acknowledge the many helpful suggestions of Professors Bingrong Huang, Yongxiao Lin, Qinghua Pi, Zhi Qi and Yingnan Wang during the preparation of the paper. We also thank PhD Shilun Wang for some useful advice. Thanks also go to the referees for corrections and very helpful comments.
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Communicated by: Guozhen Lu
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Articles in the same Issue
- Frontmatter
- Weil representations of twisted loop groups of type A n (2)
- Local Birkhoff decompositions for loop groups and a finiteness result
- Uniform boundedness of oscillatory singular integrals with rational phases
- On the stabilizer of the graph of linear functions over finite fields
- Global solution and blow-up of critical heat equation with nonlocal interaction
- Locally compact groups with all dense subgroups separable
- On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
- On isometry groups of gradient Ricci solitons
- Extensions of a theorem of P. Hall on indexes of maximal subgroups
- A trace formula for Hecke operators on Fuchsian groups
- Quasi-hereditary algebras with all standard modules being isomorphic to submodules of projective modules
- Computation of endo-fixed closures in free-abelian times free groups
- Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
- Traces of partition Eisenstein series
- Gabor System based on the unitary dual of the Heisenberg group
- Zeros of linear combinations of Dirichlet 𝐿-functions on the critical line
- Paley inequality for the Weyl transform and its applications
Articles in the same Issue
- Frontmatter
- Weil representations of twisted loop groups of type A n (2)
- Local Birkhoff decompositions for loop groups and a finiteness result
- Uniform boundedness of oscillatory singular integrals with rational phases
- On the stabilizer of the graph of linear functions over finite fields
- Global solution and blow-up of critical heat equation with nonlocal interaction
- Locally compact groups with all dense subgroups separable
- On the Kawaguchi–Silverman conjecture for birational automorphisms of irregular varieties
- On isometry groups of gradient Ricci solitons
- Extensions of a theorem of P. Hall on indexes of maximal subgroups
- A trace formula for Hecke operators on Fuchsian groups
- Quasi-hereditary algebras with all standard modules being isomorphic to submodules of projective modules
- Computation of endo-fixed closures in free-abelian times free groups
- Non-vanishing of Maass form 𝐿-functions of cubic level at the central point
- Traces of partition Eisenstein series
- Gabor System based on the unitary dual of the Heisenberg group
- Zeros of linear combinations of Dirichlet 𝐿-functions on the critical line
- Paley inequality for the Weyl transform and its applications
