D. Goldfeld

activity

20002025

most citedCounting primes, groups and manifolds

13 citations · 61 across the 23 of their papers we have counts for

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19 papers · 1 filter

math.NT2025

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 $ϕ$ for SL $(n, Z)$ are complex numbers $A_{ϕ} (M)$ , where $M = (m_{1}, m_{2}, \dots, m_{n - 1})$ and $m_{1}, m_{2}, \dots, m_{n - 1}$ are nonzero intege…

math.NT2023

The shifted convolution L-function for Maass forms

Dorian Goldfeld, Gerhardt Hinkle, Jeffrey Hoffstein

Let $Φ_{1}, Φ_{2}$ 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\mat…

math.NT2023★ 1 cited

The Functional Equations of Langlands Eisenstein Series for $S L (n, Z)$

Dorian Goldfeld, Eric Stade, Michael Woodbury

This paper presents a very simple explicit description of Langlands Eisenstein series for $SL (n, Z)$ . The functional equations of these Eisenstein series are heuristic…

math.NT2023★ 1 cited

The first coefficient of Langlands Eisenstein series for $SL (n, Z)$

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…

math.NT2022

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…

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

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

The shifted convolution L-function for Maass forms

The Functional Equations of Langlands Eisenstein Series for SL(n,Z)

The first coefficient of Langlands Eisenstein series 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( $n, Z$ )

The Functional Equations of Langlands Eisenstein Series for $S L (n, Z)$

The first coefficient of Langlands Eisenstein series for $SL (n, Z)$

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