2 citations · 2 across the 4 of their papers we have counts for
6 papers
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…
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…
On the analytic properties of a cubic Dirichlet series associated to a cubic metaplectic form
P. Edward Herman
In this paper we study the analytic properties of a certain cubic Dirichlet series associated to a metaplectic form over the cubic cover of Such a sum generalizes the w…
Beyond endoscopy for the Symmetric Cube L-function
P. Edward Herman
This paper is a first attempt at getting information on a symmetric power representation of a automorphic form via a trace formula that is beyond endoscopic techniques. In p…
Quadratic Base Change and the Analytic Continuation of the Asai L-function: A new Trace formula approach
P. Edward Herman
Using Langlands's {\it Beyond Endoscopy} idea and analytic number theory techniques, we study the Asai L-function associated to a real quadratic field $\mathbf{K}/\Q.$ If the Asai…
Beyond endoscopy for the Rankin-Selberg L-function
P. Edward Herman
We try to understand the poles of L-functions via taking a limit in a trace formula. This technique avoids endoscopic and Kim-Shahidi methods. In particular, we investigate the pol…