Dedekind sums and Fourier coefficients of modular forms

DOI10.1016/0022-314X(90)90091-5zbMath0723.11018MaRDI QIDQ757460

Roelof Wichert Bruggeman

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

modular formsDedekind sumKuznetsov's sum formula

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Dedekind eta function, Dedekind sums (11F20)

Related Items (3)

Asymptotics and Equidistribution of Cotangent Sums Associated with the Estermann and Riemann Zeta Functions ⋮ Limit laws for rational continued fractions and value distribution of quantum modular forms ⋮ Sums of Kloosterman sums for real quadratic number fields.

Cites Work

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• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Dedekind sums and uniform distribution
• Eisenstein series and the distribution of Dedekind sums
• Kloosterman sums and Fourier coefficients of cusp forms
• Fourier coefficients of cusp forms
• Modular forms of varying weights.
• Continued fractions and density results for Dedekind sums.

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