2 citations · 2 across the 5 of their papers we have counts for
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Cancellation in additively twisted sums on GL(n)
Stephen D. Miller
In a previous paper with Schmid (math.NT/0402382) we considered the regularity of automorphic distributions for GL(2,R), and its connections to other topics in number theory and an…
Riemann's Zeta Function and Beyond
Stephen S. Gelbart, Stephen D. Miller
In recent years L-functions and their analytic properties have assumed a central role in number theory and automorphic forms. In this expository article, we describe the two major…
Summation Formulas, from Poisson and Voronoi to the Present
Stephen D. Miller, Wilfried Schmid
We give an overview of classical summation formulations, such as Poisson's and Voronoi's, and then turn to modern versions involving modular form coefficients. A new formula involv…
A Summary of the Langlands-Shahidi Method of Constructing L-functions
Stephen D. Miller
These notes are from the Database of Automorphic L-functions at http://www.math.rutgers.edu/~sdmiller/l-functions . They were written up by Stephen Miller, and are based on discuss…
The Highest-Lowest Zero and other Applications of Positivity
Stephen D. Miller
The first nontrivial zeroes of the Riemann function are . We investigate the question of whether or not any other L-function has a higher lowest zero.…
On the Existence and Temperedness of Cusp Forms for SL(3,Z)
Stephen D. Miller
We develop a partial trace formula which circumvents some technical difficulties in computing the Selberg trace formula for the quotient $SL_3({\Z})\backslash SL_3({\R})/SO_3({\R})…