6 citations · 17 across the 9 of their papers we have counts for
10 papers
Multiplicativity of Fourier Coefficients of Maass Forms for SL()
Dorian Goldfeld, Eric Stade, Michael Woodbury
The Fourier coefficients of a Maass form for SL are complex numbers , where and are nonzero intege…
The Functional Equations of Langlands Eisenstein Series for
Dorian Goldfeld, Eric Stade, Michael Woodbury
This paper presents a very simple explicit description of Langlands Eisenstein series for . The functional equations of these Eisenstein series are heuristic…
The first coefficient of Langlands Eisenstein series for
Dorian Goldfeld, Eric Stade, Michael Woodbury
Fourier coefficients of Eisenstein series figure prominently in the study of automorphic L-functions via the Langlands-Shahidi method, and in various other aspects of the theory of…
An Asymptotic Orthogonality Relation for
Dorian Goldfeld, Eric Stade, Michael Woodbury
Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogon…
Generalized Frobenius partitions, Motzkin paths, and Jacobi forms
Yuze Jiang, Larry Rolen, Michael Woodbury
We show how Andrews' generating functions for generalized Frobenius partitions can be understood within the theory of Eichler and Zagier as specific coefficients of certain Jacobi…
A template method for Fourier coefficients of Langlands Eisenstein series
Dorian Goldfeld, Stephen D. Miller, Michael Woodbury
This paper introduces the template method for computing the first coefficient of Langlands Eisenstein series on $\GL(n,\mathbb R)$ and more generally on Chevalley groups over the a…
An orthogonality relation for GL(4,R)
Dorian Goldfeld, Eric Stade, Michael Woodbury +1
Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogon…
Formulas for Jacobi forms and generalized Frobenius partitions
Kathrin Bringmann, Larry Rolen, Michael Woodbury
Since their introduction by Andrews, generalized Frobenius partitions have interested a number of authors, many of whom have worked out explicit formulas for their generating funct…
On a relation between certain -hypergeometric series and Maass waveforms
Matthew Krauel, Larry Rolen, Michael Woodbury
In this paper, we answer a question of Li, Ngo, and Rhoades concerning a set of -series related to the -hypergeometric series from Ramanajun's lost notebook. Our results…
The Quantum Variance of the Modular Surface
Peter Sarnak, Peng Zhao, Appendix by Michael Woodbury
The variance of observables of quantum states of the Laplacian on the modular surface is calculated in the semiclassical limit. It is shown that this hermitian form is diagonalized…