Maass form twisted Shintani $\mathcal {L}$-functions

DOI10.1090/proc/13563zbMath1421.11030arXiv1606.00461OpenAlexW2962824334MaRDI QIDQ5351779

Bob Hough

Publication date: 30 August 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.00461

zbMATH Keywords

equidistributionShintani zeta functionMaass form

Mathematics Subject Classification ID

Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Other Dirichlet series and zeta functions (11M41) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Class numbers of quadratic and Hermitian forms (11E41)

Related Items (2)

Subconvexity of Shintani’s zeta function ⋮ The shape of cubic fields

Cites Work

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• The fourth moment of Dirichlet \(L\)-functions
• Zeta functions of prehomogeneous vector spaces with coefficients related to periods of automorphic forms
• Fourier coefficients of modular forms on \(G_2\).
• Higher composition laws. II: On cubic analogues of Gauss composition
• The variance of arithmetic measures associated to closed geodesics on the modular surface
• Orbital L-functions for the Space of Binary Cubic Forms
• The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields
• Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
• The shapes of pure cubic fields
• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

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