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math.NT2022
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…
math.NT2022
The cubic Pell equation L-function
Dorian Goldfeld, Gerhardt Hinkle
For a cubefree rational integer, we define an -function (denoted ) whose coefficients are derived from the cubic theta function for $\mathbb Q\left(\sqrt{-3}\rig…