Hybrid subconvexity bounds for L(1/2,Sym2f⊗g)

Holowinsky, Roman ; Munshi, Ritabrata (2016) Hybrid subconvexity bounds for L(1/2,Sym2f⊗g) Mathematische Zeitschrift, 283 (1-2). pp. 555-579. ISSN 0025-5874

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Official URL: https://link.springer.com/article/10.1007/s00209-0...

Related URL: http://dx.doi.org/10.1007/s00209-015-1610-9

Abstract

Fix an integer κ⩾2. Let P be prime and let k>κ be an even integer. For f a holomorphic cusp form of weight k and full level and g a primitive holomorphic cusp form of weight 2κ and level P, we prove hybrid subconvexity bounds for L(1/2, Sym2f⊗g) in the k and P aspects when P13/64+δ<k<P3/8−δ for any 0<δ<11/128. These bounds are achieved through a first moment method (with amplification when P13/64<k⩽P413).

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ID Code:110748
Deposited On:31 Jan 2018 09:07
Last Modified:31 Jan 2018 09:07

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