Abstract
In this paper, we study some shifted convolution sums for higher rank groups. In particular, we establish an asymptotic formula for a
where
Funding source: China Postdoctoral Science Foundation
Award Identifier / Grant number: 2017M620285
Funding source: Natural Science Foundation of Shandong Province
Award Identifier / Grant number: ZR2018QA004
Funding source: National Natural Science Foundation of China
Award Identifier / Grant number: 11801318
Award Identifier / Grant number: 11771252
Award Identifier / Grant number: 11531008
Funding source: Changjiang Scholar Program of Chinese Ministry of Education
Award Identifier / Grant number: IRT16R43
Funding statement: Jiang is supported by the China Postdoctoral Science Foundation (no. 2017M620285), the Natural Science Foundation of Shandong Province (no. ZR2018QA004) and NSFC (no. 11801318), and Lü is supported in part by NSFC (nos. 11771252, 11531008), IRT16R43 and Taishan Scholars.
Acknowledgements
The authors wish to thank the referee for valuable comments.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
- Infinite families of equivariantly formal toric orbifolds
- Bounds for GL3L-functions in depth aspect
- Nonlinear Dirichlet problems with unilateral growth on the reaction
- K-invariant cusp forms for reductive symmetric spaces of split rank one
- Cellularity in quotient spaces of topological groups
- Shifted convolution sums for higher rank groups
- Dimension quotients, Fox subgroups and limits of functors
- Large sums of Hecke eigenvalues of holomorphic cusp forms
- K-theory classification of graded ultramatricial algebras with involution
- Regularity of symbolic powers and arboricity of matroids
- On some problems concerning symmetrization operators
- An Erdős–Ko–Rado result for sets of pairwise non-opposite lines in finite classical polar spaces
- Rankin–Selberg gamma factors of level zero representations of GLn
- Sobolev’s inequality for double phase functionals with variable exponents
- Independence of Artin L-functions
- Oscillatory singular integral operators with Hölder class kernels on Hardy spaces
Articles in the same Issue
- Frontmatter
- Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
- Infinite families of equivariantly formal toric orbifolds
- Bounds for GL3L-functions in depth aspect
- Nonlinear Dirichlet problems with unilateral growth on the reaction
- K-invariant cusp forms for reductive symmetric spaces of split rank one
- Cellularity in quotient spaces of topological groups
- Shifted convolution sums for higher rank groups
- Dimension quotients, Fox subgroups and limits of functors
- Large sums of Hecke eigenvalues of holomorphic cusp forms
- K-theory classification of graded ultramatricial algebras with involution
- Regularity of symbolic powers and arboricity of matroids
- On some problems concerning symmetrization operators
- An Erdős–Ko–Rado result for sets of pairwise non-opposite lines in finite classical polar spaces
- Rankin–Selberg gamma factors of level zero representations of GLn
- Sobolev’s inequality for double phase functionals with variable exponents
- Independence of Artin L-functions
- Oscillatory singular integral operators with Hölder class kernels on Hardy spaces