On the spectral mean square of Fourier coefficients of real-analytic automorphic forms of half-integral weight

DOI10.1007/BF02572401zbMath0790.11036MaRDI QIDQ1323439

Roland Matthes

Publication date: 14 June 1994

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174565

zbMATH Keywords

forms of half-integral weightmultiplier systemasymptotic formula with remainder termspectral mean valuesquares of Fourier coefficients of vector valued Maass wave forms

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Fourier coefficients of automorphic forms (11F30)

Related Items (2)

A reduction of the remainder term in the prime geodesic theorem for the theta case ⋮ Some remarks on induced multiplier systems, generalized Kloosterman sums and theta multipliers

Cites Work

• Die Funktionalgleichungen einiger Dirichletscher Reihen
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Fourier coefficients of automorphic forms
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Some remarks on induced multiplier systems, generalized Kloosterman sums and theta multipliers
• Sums of Kloosterman sums
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Prime geodesic theorem.
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• Prime geodesic theorem for the theta case.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the spectral mean square of Fourier coefficients of real-analytic automorphic forms of half-integral weight