The Petersson conjecture for the weight zero. I

DOI10.1007/BF02680145zbMath0995.11037WikidataQ123148023 ScholiaQ123148023MaRDI QIDQ1588964

A. I. Vinogradov

Publication date: 10 December 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

eigenvalueHecke operatorinfinite-dimensional Hilbert spacesPetersson conjecturespectral decompositions of convolutions

Mathematics Subject Classification ID

Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Hecke-Petersson operators, differential operators (one variable) (11F25)

Cites Work

• Unnamed Item
• Unnamed Item
• Kloosterman sums and Fourier coefficients of cusp forms
• Nonhomogeneous Rankin convolutions
• Convolutions. Comparison of spectral expansions at different vertices
• A shortened equation for convolutions
• Spectral decomposition of convolutions

This page was built for publication: The Petersson conjecture for the weight zero. I