Munshi, Ritabrata (2013) Bounds for twisted symmetric square L-functions Journal fur die reine und angewandte Mathematik, 2013 (682). pp. 65-88. ISSN 0075-4102
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Official URL: https://www.degruyter.com/view/j/crelle.2013.2013....
Related URL: http://dx.doi.org/10.1515/crelle-2012-0038
Abstract
Let f ∈ Sk(N,ψ) be a newform, and let χ be a primitive character of conductor qℓ. Assume that q is a prime and ℓ > 1. In this paper we describe a method to establish convexity breaking bounds of the form L(1/2, Sym2f⊗χ)f,εq3/4ℓ-δℓ+ε for some δℓ > 0 and any ε > 0. In particular, for we show that the bound holds with δℓ = 1/4.
Item Type: | Article |
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Source: | Copyright of this article belongs to Walter de Gruyter GmbH & Co. KG. |
ID Code: | 110778 |
Deposited On: | 31 Jan 2018 09:08 |
Last Modified: | 31 Jan 2018 09:08 |
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