Burgess-like subconvex bounds for $GL_2 \times GL_1$

preprint2014arXivOpen access

We give a Burgess-like subconvex bound for $L(s, π\otimes χ)$ in terms of the analytical conductor of $χ$ , where $π$ is a $GL_2$ cuspidal representation and $χ$ is a Hecke character.

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Burgess-like subconvex bounds for $GL_2 \times GL_1$

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Burgess-like subconvex bounds for GL2×GL1GL_2 \times GL_1GL2​×GL1​

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Burgess-like subconvex bounds for $GL_2 \times GL_1$