Some remarks on odd Maass wave forms (and a correction to [1])

DOI10.1007/BF01179274zbMath0628.10033OpenAlexW1969071308MaRDI QIDQ1092945

James Lee Hafner

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/173870

zbMATH Keywords

number of zerosL-functioncritical lineinverse Mellin transformreal analytic modular formsodd Maass forms

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Holomorphic modular forms of integral weight (11F11)

Related Items (12)

Exponential sums twisted by Fourier coefficients of automorphic cusp forms for SL(2, ℤ) ⋮ Infinitely many zeros of additively twisted \(L\)-functions on the critical line ⋮ Spectral square moments of a resonance sum for Maass forms ⋮ On some exponential sums involving Maass forms over arithmetic progressions ⋮ Resonance between automorphic forms and exponential functions ⋮ On squares of Fourier coefficients twist exponential functions with applications ⋮ On some estimates involving Fourier coefficients of Maass cusp forms ⋮ The exponential sums related to cusp forms in the level aspect ⋮ The horocycle flow at prime times ⋮ Exponential sums involving Maass forms ⋮ Exponential sums related to Maass forms ⋮ Resonances and \(\Omega\)-results for exponential sums related to Maass forms for \(\mathrm{SL}(n, \mathbb{Z})\)

Cites Work

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• Zeros of L-functions attached to Maass forms
• Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise
• On the zeros of Maass wave form 𝐿-functions

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