D. Goldfeld

activity

20242026

collaborators

4 papers

math.NT2026

The shifted convolution L-function for Maass forms

Dorian Goldfeld, Gerhardt Hinkle, Jeffrey Hoffstein

Let $I^¦_{1}, I^¦_{2}$ be Maass forms for $SL (2, Z)$ with Fourier coefficients $C_{1} (n), C_{2} (n)$ . For a positive integer $h$ the meromorphic continuation and growth in $s\in\m…

math.NT2026

An Analogue of the Dedekind Eta Function for Hecke Groups $H (D)$

Debmalya Basak, Dorian Goldfeld, Winston Heap +2

Let $D \equiv 1 mod 4$ be a fundamental discriminant of a real quadratic field. We construct an analogue of the classical Dedekind eta function for the Hecke group $H (D)$ .…

math.NT2025

Multiplicativity of Fourier Coefficients of Maass Forms for SL( $n, Z$ )

Dorian Goldfeld, Eric Stade, Michael Woodbury

The Fourier coefficients of a Maass form $I ¨ $ for SL $(n, Z)$ are complex numbers $A_{I ¨} (M)$ , where $M = (m_{1}, m_{2}, \dots, m_{n - 1})$ and $m_{1}, m_{2}, \dots, m_{n - 1}$ are nonzero inte…

math.NT2024

An Asymptotic Orthogonality Relation for $GL (n, R)$

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…

The shifted convolution L-function for Maass forms

An Analogue of the Dedekind Eta Function for Hecke Groups H(D​)

Multiplicativity of Fourier Coefficients of Maass Forms for SL(n,Z)

An Asymptotic Orthogonality Relation for GL(n,R)

An Analogue of the Dedekind Eta Function for Hecke Groups $H (D)$

Multiplicativity of Fourier Coefficients of Maass Forms for SL( $n, Z$ )

An Asymptotic Orthogonality Relation for $GL (n, R)$