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Deshouillers, J.-M.; Iwaniec, H.

Kloosterman sums and Fourier coefficients of cusp forms. (English) Zbl 0502.10021

Invent. Math. 70, 219-288 (1982).
Reviewer: R. W. Bruggeman (Utrecht)
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Cited in 24 Reviews
Cited in 167 Documents

MSC:

11L05 Gauss and Kloosterman sums; generalizations
11F30 Fourier coefficients of automorphic forms
11F11 Holomorphic modular forms of integral weight
11N35 Sieves
11N37 Asymptotic results on arithmetic functions
11M06 \(\zeta (s)\) and \(L(s, \chi)\)

Keywords:

trace formulas; large sieve inequalities; congruence groups; interplay between Kloosterman sums and Fourier coefficients of cusp forms; sum formula; real analytic cusp forms; exceptional eigenvalues; applications; greatest prime factors; Brun-Titchmarsh theorem; additive divisor problem; mean-values for Riemann zeta-function

Citations:

Zbl 0003.35002; Zbl 0427.10016
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\textit{J. M. Deshouillers} and \textit{H. Iwaniec}, Invent. Math. 70, 219--288 (1982; Zbl 0502.10021)
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References:

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