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math.NT2013
On Patterson's Conjecture: Sums of Quartic Exponential Sums
P. Edward Herman
We give more evidence for Patterson's conjecture on sums of exponential sums, by getting an asymptotic for a sum of quartic exponential sums over $\Q[i].$ Previously, the strongest…
math.NT2013★ 2 cited
Subconvexity for the Rankin-Selberg L-function in both levels
P. Edward Herman
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-Friedlan…