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math.NT2014★ 1 cited
Designing Poincare Series for Number Theoretic Applications
Amy T. DeCelles
The Poincaré series giving the subconvexity results of Diaconu and Garrett is the solution to an automorphic partial differential equation, constructed by winding-up the sol…
math.NT2014
Branching of Automorphic Fundamental Solutions
Amy T. DeCelles
Automorphic fundamental solutions and, more generally, solutions of automorphic differential equations, play a key role in the Diaconu-Garrett-Goldfeld prescription for spectral id…