On the asymptotic formula of Kuznetsov and existence of generic cusp forms

DOI10.1007/BF03025738zbMath0810.11029MaRDI QIDQ1321006

Andre Reznikov

Publication date: 19 May 1994

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

Full work available at URL: https://eudml.org/doc/174546

zbMATH Keywords

asymptotic formulaKloosterman sumsKuznetsov's sum formulageneric cusp formscuspidal Maass formsmean value of squares of Fourier coefficients

Mathematics Subject Classification ID

Forms of half-integer weight; nonholomorphic modular forms (11F37) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)

Related Items (1)

Applications of the Kuznetsov formula on \(\mathrm{GL}(3)\)

Cites Work

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• Kuznetsov formulas for real rank one groups
• Fourier coefficients of cusp forms
• Eisenstein matrix and existence of cusp forms in rank one symmetric spaces
• PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS
• On Certain L-Functions
• Kloosterman-Selberg Zeta Functions on Complex Hyperbolic Spaces

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