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math.NT2003
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…
math.NT2003
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…