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arXiv · 1303.4459

Subconvexity for the Rankin-Selberg L-function in both levels

P. Edward Herman
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Abstract

In this paper, we obtain a subconvexity result for the Rankin-Selberg L-function in both levels. The new feature in this result is applying an amplification method of Duke-Friedlander-Iwaniec to a double Petersson-Kuznetsov trace formula. As the trace formula ranges over all the $GL_2$ spectrum, this subconvexity result is unconditional of which Hecke eigenforms are chosen in the Rankin-Selberg L-function.

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P. Edward Herman. 2013-03-19. Subconvexity for the Rankin-Selberg L-function in both levels. https://arxiv.org/abs/1303.4459

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