Abstract
Let f be a Hecke–Maass cusp form for
for any
Funding source: Natural Science Foundation of China
Award Identifier / Grant number: 11871306
Funding source: Natural Science Foundation of Shandong Province
Award Identifier / Grant number: ZR2016AQ15
Funding source: Ministry of Education of the People’s Republic of China
Award Identifier / Grant number: IRT16R43
Funding statement: The first author is supported by the National Natural Science Foundation of China (Grant No. 11871306), Natural Science Foundation of Shandong Province (Grant No. ZR2016AQ15) and PCSIRT (Grant No. IRT16R43).
Acknowledgements
The authors would like to express heartfelt thanks to the referees for their important and useful comments.
References
[1]
V. Blomer,
Subconvexity for twisted L-functions on
[2] V. Blomer and D. Milićević, p-adic analytic twists and strong subconvexity, Ann. Sci. Éc. Norm. Supér. (4) 48 (2015), no. 3, 561–605. 10.24033/asens.2252Search in Google Scholar
[3] J. B. Conrey and H. Iwaniec, The cubic moment of central values of automorphic L-functions, Ann. of Math. (2) 151 (2000), no. 3, 1175–1216. 10.2307/121132Search in Google Scholar
[4]
D. Goldfeld and X. Li,
Voronoi formulas on
[5] A. Good, The square mean of Dirichlet series associated with cusp forms, Mathematika 29 (1982), no. 2, 278–295. 10.1112/S0025579300012377Search in Google Scholar
[6]
R. Holowinsky and P. D. Nelson,
Subconvex bounds on
[7] H. Iwaniec and E. Kowalski, Analytic Number Theory, Amer. Math. Soc. Colloq. Publ. 53, American Mathematical Society, Providence, 2004. 10.1090/coll/053Search in Google Scholar
[8] M. Jutila, Lectures on a Method in the Theory of Exponential Sums, Tata Inst. Fundam. Res. Lectures Math. Phys. 80, Springer, Berlin, 1987. Search in Google Scholar
[9]
D. D. Letang,
Subconvexity Bounds for Automorphic L-functions on
[10]
X. Li,
Bounds for
[11] T. Meurman, On the order of the Maass L-function on the critical line, Number Theory. Vol. I (Budapest 1987), Colloq. Math. Soc. János Bolyai 51, North-Holland, Amsterdam (1990), 325–354. Search in Google Scholar
[12] D. Milićević, Sub-Weyl subconvexity for Dirichlet L-functions to prime power moduli, Compos. Math. 152 (2016), no. 4, 825–875. 10.1112/S0010437X15007381Search in Google Scholar
[13]
S. D. Miller and W. Schmid,
Automorphic distributions, L-functions, and Voronoi summation for
[14]
G. Molteni,
Upper and lower bounds at
[15] R. Munshi, Bounds for twisted symmetric square L-functions—III, Adv. Math. 235 (2013), 74–91. 10.1016/j.aim.2012.11.010Search in Google Scholar
[16]
R. Munshi,
The circle method and bounds for L-functions. II: Subconvexity for twists of
[17]
R. Munshi,
The circle method and bounds for L-functions. III: t-aspect subconvexity for
[18]
R. Munshi,
The circle method and bounds for L-functions. IV: Subconvexity for twists of
[19]
R. Munshi,
Twists of
[20]
H. Weyl,
Zur Abschätzung von
© 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