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The first sign change of Fourier coefficients of cusp forms
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 131, Number 2, April 2009
- pp. 517-543
- 10.1353/ajm.0.0050
- Article
- Additional Information
Let $f=\sum_{n>o} a(n)q^{n}, a(n)$ real, be an arbitrary nonzero cusp form of even integral weight $k\geq 2$ on $\Gamma_0(N),$ square free $N.$ We obtain an effective bound that the first sign change of $a(n)$ occurs.