Munshi, Ritabrata (2015) The circle method and bounds for L-functions, II: Subconvexity for twists of GL(3) L-functions American Journal of Mathematics, 137 (3). pp. 791-812. ISSN 0002-9327
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Official URL: https://muse.jhu.edu/article/582865
Related URL: http://dx.doi.org/10.1353/ajm.2015.0018
Abstract
Let π be a SL(3,ℤ) Hecke-Maass cusp form. Let χ = χ1χ2 be a Dirichlet character with χi primitive modulo Mi. Suppose M1, M2 are primes such that √M2M4δ < M1 < M2M-3δ, where M = M1M2 and 0 < δ < 1/28. In this paper we will prove the following subconvex bound L(1/2, π1 ⊗ χ) ≪π,ε M3/4-δε.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Johns Hopkins University Press. |
| ID Code: | 110764 |
| Deposited On: | 31 Jan 2018 09:07 |
| Last Modified: | 31 Jan 2018 09:07 |
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