The circle method and bounds for L-functions---II: Subconvexity for twists of GL(3) L-functions
By R. Munshi. 2012
88 citations recorded by the source corpus.
Let $\pi$ be a $SL(3,\mathbb Z)$ automorphic form. Let $\chi=\chi_1\chi_2$ be a Dirichlet character with $\chi_i$ primitive modulo $M_i$. Suppose $M_1$, $M_2$ are primes such that $\sqrt{M_2}M^{4\delta}<M_1<M_2M^{-3\delta}$, where $M=M_1M_2$ and $0<\delta<1/28$. In this paper we will prove the following subconvex bound $$ L(\t1/2,\pi\otimes\chi)\ll_{\pi,\varepsilon} M^{3/4}-\delta+\varepsilon}. $$
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/db43d68d5d53fd5506ba0849f37012667880126c
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
In Mathematical Physics
Citations in the corpus
- THE CIRCLE METHOD AND BOUNDS FOR L-FUNCTIONS - III: t-ASPECT SUBCONVEXITY FOR GL(3) L-FUNCTIONS (2013, methodology): “This by itself does not seem very effective, and as in [13] we need a conductor lowering mechanism.”