Bounds for GL(3)×GL(2) L -functions and GL(3) L -functions
By Xiaoqing Li. 2008
188 citations recorded by the source corpus.
In this paper, we will give the subconvexity bounds for self-dual GL(3) L-functions in the t aspect as well as subconvexity bounds for self-dual GL(3) GL(2) L-functions in the GL(2) spectral aspect.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/8610d4415e8ee95913653d49c8ddebee234bb7e3
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In Algebra and Number Theory
- R. Munshi
- Nicolas Templier
- Atsushi Ichino
- W. Schmid
- Stephen D. Miller
- Xiaoqing Li
- Peter Sarnak
- Akshay Venkatesh
In Discrete Mathematics and Combinatorics
In Mathematical Physics
- R. Munshi
- Nicolas Templier
- Atsushi Ichino
- W. Schmid
- Stephen D. Miller
- Xiaoqing Li
- Peter Sarnak
- Akshay Venkatesh
Citations in the corpus
- On the Voronoĭ formula for GL(n) (2013, methodology): “Recent applications of the formula for GL(3) may be found in Miller-Schmid [29,31], Sarnak-Watson [32] and Li [26,27].”
- A general Voronoi summation formula for GL(n,Z) (2009, background): “The freedom to specify arbitrary non-zero cj is potentially important; in the case of GL(3), for example, Li’s convexity breaking result [16] crucially depends on this additional freedom.”
- THE CIRCLE METHOD AND BOUNDS FOR L-FUNCTIONS - III: t-ASPECT SUBCONVEXITY FOR GL(3) L-FUNCTIONS (2013, methodology): “The following Voronoi type summation formula (see [7], [8]) will play a crucial role in our analysis.”
- The circle method and bounds for L-functions---II: Subconvexity for twists of GL(3) L-functions (2012, background): “Let χ be a primitive Dirichlet character modulo M .”