Dedekind sums and Fourier coefficients of modular forms

Abstract

We prove the following result on the distribution of Dedekind sums: for each compactly supported continuous function g on R × (R/Z). The proof uses Kuznetsov's sum formula in the modular case for varying real weight.

Keywords

Citation

Bruggeman, R 1990, 'Dedekind sums and Fourier coefficients of modular forms', Journal of Number Theory, vol. 36, no. 3, pp. 289-321. https://doi.org/10.1016/0022-314X(90)90091-5