Jack Buttcane

activity

20112025

most citedPlancherel distribution of Satake parameters of Maass cusp forms on

G L_{3}

19 citations · 76 across the 12 of their papers we have counts for

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math.NT2016★ 19 cited

Plancherel distribution of Satake parameters of Maass cusp forms on $G L_{3}$

Jack Buttcane, Fan Zhou

We prove an equidistribution result for the Satake parameters of Maass cusp forms on $G L_{3}$ with respect to the $p$ -adic Plancherel measure by using an application of the Kuznetsov…

math.NT2016★ 15 cited

On the fourth moment of Hecke Maass forms and the Random Wave Conjecture

Jack Buttcane, Rizwanur Khan

Conditionally on the Generalized Lindelöf Hypothesis, we obtain an asymptotic for the fourth moment of Hecke Maass cusp forms of large Laplacian eigenvalue for the full modular gro…

math.NT2016

Higher weight on GL(3), I: The Eisenstein series

Jack Buttcane

The purpose of this paper is to collect and make explicit the results of Langlands, Bump, Miyazaki and Manabe, Ishii and Oda for the $G L (3)$ Eisenstein series and Whittaker functio…

Plancherel distribution of Satake parameters of Maass cusp forms on GL3​

On the fourth moment of Hecke Maass forms and the Random Wave Conjecture

Higher weight on GL(3), I: The Eisenstein series

Plancherel distribution of Satake parameters of Maass cusp forms on $G L_{3}$