Fourier coefficients of cusp forms
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Publication:1235203
DOI10.1007/BF01406220zbMath0351.10019MaRDI QIDQ1235203
Publication date: 1978
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/142533
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Cites Work
- Unnamed Item
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- The Selberg trace formula and the Riemann zeta-function
- Über die Entwicklungskoeffizienten der automorphen Formen
- Lectures on modular functions of one complex variable
- Sur la formule des traces de Selberg
- A class of nonanalytic automorphic functions
- On Some Exponential Sums