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

1303.4459Mar 19, 201334 pages; Any comments are welcome on this draft

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

P. Edward Herman

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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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.

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The paper addresses: Subconvexity for the Rankin-Selberg L-function in both levels.
In this paper, we obtain a subconvexity result for the Rankin-Selberg L-function in both levels.

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Author comment: 34 pages; Any comments are welcome on this draft

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